{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "nbsphinx": "hidden"
   },
   "source": [
    "# Realization of Recursive Filters\n",
    "\n",
    "*This jupyter notebook is part of a [collection of notebooks](../index.ipynb) on various topics of Digital Signal Processing. Please direct questions and suggestions to [Sascha.Spors@uni-rostock.de](mailto:Sascha.Spors@uni-rostock.de).*"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Quantization of Variables and Operations\n",
    "\n",
    "As for [non-recursive filters](../nonrecursive_filters/quantization_effects.ipynb#Quantization-Effects), the practical realization of recursive filters may suffer from the quantization of variables and algebraic operations. The effects of [coefficient quantization](quantization_of_coefficients.ipynb) were already discussed. This section takes a look at the quantization of variables.  We limit the investigations to the recursive part of a second-order section (SOS), since any recursive filter of order $N \\geq 2$ can be [decomposed into SOSs](cascaded_structures.ipynb).\n",
    "\n",
    "The computation of the output signal $y[k] = \\mathcal{H}\\{ x[k] \\}$ by a difference equation involves a number of multiplications and additions. As discussed already for [non-recursive filters](../nonrecursive_filters/quantization_effects.ipynb#Quantization-of-Signals-and-Operations), multiplying two numbers in a binary representation (e.g. [two's complement](https://en.wikipedia.org/wiki/Two's_complement) or [floating point](https://en.wikipedia.org/wiki/Floating_point)) requires requantization of the result to keep the word length constant. The addition of two numbers may fall outside the maximum/minimum values of the representation and may suffer from clipping.\n",
    "\n",
    "The resulting round-off and clipping errors depend on the number and sequence of algebraic operations. These depend on the structure used for implementation of the SOSs. For ease of illustration we limit our discussion to the [direct form I and II](direct_forms.ipynb). Similar insights can be achieved in a similar manner for other structures."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Analysis of Round-Off Errors\n",
    "\n",
    "Round-off errors are a consequence of reducing the word length after a multiplication. In order to investigate the influence of these errors on a recursive filter, the statistical model for [round-off errors in multipliers](../nonrecursive_filters/quantization_effects.ipynb#Model-for-round-off-errors-in-multipliers) as introduced for non-recursive filters is used. We furthermore neglect clipping. \n",
    "\n",
    "The difference equation for the recursive part of a SOS realized in direct form I or II is given as\n",
    "\n",
    "\\begin{equation}\n",
    "y[k] =  x[k] - a_1 \\, y[k-1] - a_2 \\, y[k-2]\n",
    "\\end{equation}\n",
    "\n",
    "where $a_0 = 1$, $a_1$ and $a_2$ denote the coefficients of the recursive part. Introducing the requantization after the multipliers into the difference equation yields the output signal $y_Q[k]$\n",
    "\n",
    "\\begin{equation}\n",
    "y_Q[k] = x[k] - \\mathcal{Q} \\{ a_{1} \\, y[k-1] \\} - \\mathcal{Q} \\{ a_{2} \\, y[k-2] \\}\n",
    "\\end{equation}\n",
    "\n",
    "where $\\mathcal{Q} \\{ \\cdot \\}$ denotes the requantizer. Requantization is a non-linear process which results in a requantization error. If the value to be requantized is much larger that the quantization step $Q$, the average statistical properties of this error can be modeled as additive uncorrelated white noise. Introducing the error into above difference equation gives\n",
    "\n",
    "\\begin{equation}\n",
    "y_Q[k] = x[k] - a_1 \\, y[k-1] - e_1[k] - a_2 \\, y[k-2] - e_2[k]\n",
    "\\end{equation}\n",
    "\n",
    "where the two white noise sources $e_1[k]$ and $e_2[k]$ are assumed to be uncorrelated to each other. This difference equation can be split into a set of two difference equations\n",
    "\n",
    "\\begin{align}\n",
    "y_Q[k] &= y[k] + e[k] \\\\\n",
    "y[k] &=  x[k] - a_1 \\, y[k-1] - a_2 \\, y[k-2] \\\\\n",
    "e[k] &= - e_1[k] - e_2[k] - a_1 \\, e[k-1] - a_2 \\, e[k-2]\n",
    "\\end{align}\n",
    "\n",
    "The first difference equation computes the desired output signal $y[k]$ as a result of the input signal $x[k]$. The second one the additive error $e[k]$ due to requantization as a result of the requantization error $- (e_1[k] + e_2[k])$ injected into the recursive filter.\n",
    "The power spectral density (PSD) $\\Phi_{ee}(\\mathrm{e}^{\\,\\mathrm{j}\\,\\Omega})$ of the error $e[k]$ is then given as\n",
    "\n",
    "\\begin{equation}\n",
    "\\Phi_{ee}(\\mathrm{e}^{\\,\\mathrm{j}\\,\\Omega}) = | H(\\mathrm{e}^{\\,\\mathrm{j}\\,\\Omega})|^2 \\cdot (\\Phi_{e_1 e_1}(\\mathrm{e}^{\\,\\mathrm{j}\\,\\Omega}) + \\Phi_{e_2 e_2}(\\mathrm{e}^{\\,\\mathrm{j}\\,\\Omega}))\n",
    "\\end{equation}\n",
    "\n",
    "According to the model for the requantization errors, their PSDs are given as $\\Phi_{e_1 e_1}(\\mathrm{e}^{\\,\\mathrm{j}\\,\\Omega}) = \\Phi_{e_2 e_2}(\\mathrm{e}^{\\,\\mathrm{j}\\,\\Omega}) = \\frac{Q^2}{12}$. Introducing this together with the transfer function of the SOS yields\n",
    "\n",
    "\\begin{equation}\n",
    "\\Phi_{ee}(\\mathrm{e}^{\\,\\mathrm{j}\\,\\Omega}) = \\left| \\frac{1}{1 + a_1 \\, \\mathrm{e}^{\\,-\\mathrm{j}\\,\\Omega} + a_2 \\, \\mathrm{e}^{\\,-\\mathrm{j}\\,2\\,\\Omega}} \\right|^2 \\cdot \\frac{Q^2}{6}\n",
    "\\end{equation}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Example - Round-off error of a SOS\n",
    "\n",
    "The following example evaluates the error $e[k] = y_Q[k] - y[k]$ for a SOS which only consists of a recursive part. The desired system response $y[k]$ is computed numerically by floating point operations with double precision, $y_Q[k]$ is computed by applying a uniform midtread quantizer after the multiplications. The system is excited by uniformly distributed white noise. Besides the PSD $\\Phi_{ee}(\\mathrm{e}^{\\,\\mathrm{j}\\,\\Omega})$, the signal-to-noise ratio (SNR) $10 \\cdot \\log_{10} \\left( \\frac{\\sigma_y^2}{\\sigma_e^2} \\right)$ in dB of the filter is evaluated."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "SNR due to requantization: 45.442600 dB\n"
     ]
    },
    {
     "data": {
      "application/pdf": "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\n",
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
       "  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
       "<svg height=\"281.634375pt\" version=\"1.1\" viewBox=\"0 0 612.8875 281.634375\" width=\"612.8875pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
       " <metadata>\n",
       "  <rdf:RDF xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\">\n",
       "   <cc:Work>\n",
       "    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n",
       "    <dc:date>2022-01-24T11:52:09.529254</dc:date>\n",
       "    <dc:format>image/svg+xml</dc:format>\n",
       "    <dc:creator>\n",
       "     <cc:Agent>\n",
       "      <dc:title>Matplotlib v3.4.3, https://matplotlib.org/</dc:title>\n",
       "     </cc:Agent>\n",
       "    </dc:creator>\n",
       "   </cc:Work>\n",
       "  </rdf:RDF>\n",
       " </metadata>\n",
       " <defs>\n",
       "  <style type=\"text/css\">*{stroke-linecap:butt;stroke-linejoin:round;}</style>\n",
       " </defs>\n",
       " <g id=\"figure_1\">\n",
       "  <g id=\"patch_1\">\n",
       "   <path d=\"M 0 281.634375 \n",
       "L 612.8875 281.634375 \n",
       "L 612.8875 0 \n",
       "L 0 0 \n",
       "z\n",
       "\" style=\"fill:#ffffff;\"/>\n",
       "  </g>\n",
       "  <g id=\"axes_1\">\n",
       "   <g id=\"patch_2\">\n",
       "    <path d=\"M 47.6875 244.078125 \n",
       "L 605.6875 244.078125 \n",
       "L 605.6875 22.318125 \n",
       "L 47.6875 22.318125 \n",
       "z\n",
       "\" style=\"fill:#ffffff;\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_1\">\n",
       "    <g id=\"xtick_1\">\n",
       "     <g id=\"line2d_1\">\n",
       "      <path clip-path=\"url(#pd7d289fb05)\" d=\"M 47.6875 244.078125 \n",
       "L 47.6875 22.318125 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_2\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L 0 3.5 \n",
       "\" id=\"mc41df1ea6f\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"47.6875\" xlink:href=\"#mc41df1ea6f\" y=\"244.078125\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_1\">\n",
       "      <!-- 0.0 -->\n",
       "      <g transform=\"translate(39.735938 258.676562)scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path d=\"M 2034 4250 \n",
       "Q 1547 4250 1301 3770 \n",
       "Q 1056 3291 1056 2328 \n",
       "Q 1056 1369 1301 889 \n",
       "Q 1547 409 2034 409 \n",
       "Q 2525 409 2770 889 \n",
       "Q 3016 1369 3016 2328 \n",
       "Q 3016 3291 2770 3770 \n",
       "Q 2525 4250 2034 4250 \n",
       "z\n",
       "M 2034 4750 \n",
       "Q 2819 4750 3233 4129 \n",
       "Q 3647 3509 3647 2328 \n",
       "Q 3647 1150 3233 529 \n",
       "Q 2819 -91 2034 -91 \n",
       "Q 1250 -91 836 529 \n",
       "Q 422 1150 422 2328 \n",
       "Q 422 3509 836 4129 \n",
       "Q 1250 4750 2034 4750 \n",
       "z\n",
       "\" id=\"DejaVuSans-30\" transform=\"scale(0.015625)\"/>\n",
       "        <path d=\"M 684 794 \n",
       "L 1344 794 \n",
       "L 1344 0 \n",
       "L 684 0 \n",
       "L 684 794 \n",
       "z\n",
       "\" id=\"DejaVuSans-2e\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_2\">\n",
       "     <g id=\"line2d_3\">\n",
       "      <path clip-path=\"url(#pd7d289fb05)\" d=\"M 136.495958 244.078125 \n",
       "L 136.495958 22.318125 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_4\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"136.495958\" xlink:href=\"#mc41df1ea6f\" y=\"244.078125\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_2\">\n",
       "      <!-- 0.5 -->\n",
       "      <g transform=\"translate(128.544396 258.676562)scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path d=\"M 691 4666 \n",
       "L 3169 4666 \n",
       "L 3169 4134 \n",
       "L 1269 4134 \n",
       "L 1269 2991 \n",
       "Q 1406 3038 1543 3061 \n",
       "Q 1681 3084 1819 3084 \n",
       "Q 2600 3084 3056 2656 \n",
       "Q 3513 2228 3513 1497 \n",
       "Q 3513 744 3044 326 \n",
       "Q 2575 -91 1722 -91 \n",
       "Q 1428 -91 1123 -41 \n",
       "Q 819 9 494 109 \n",
       "L 494 744 \n",
       "Q 775 591 1075 516 \n",
       "Q 1375 441 1709 441 \n",
       "Q 2250 441 2565 725 \n",
       "Q 2881 1009 2881 1497 \n",
       "Q 2881 1984 2565 2268 \n",
       "Q 2250 2553 1709 2553 \n",
       "Q 1456 2553 1204 2497 \n",
       "Q 953 2441 691 2322 \n",
       "L 691 4666 \n",
       "z\n",
       "\" id=\"DejaVuSans-35\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_3\">\n",
       "     <g id=\"line2d_5\">\n",
       "      <path clip-path=\"url(#pd7d289fb05)\" d=\"M 225.304416 244.078125 \n",
       "L 225.304416 22.318125 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_6\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"225.304416\" xlink:href=\"#mc41df1ea6f\" y=\"244.078125\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_3\">\n",
       "      <!-- 1.0 -->\n",
       "      <g transform=\"translate(217.352854 258.676562)scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path d=\"M 794 531 \n",
       "L 1825 531 \n",
       "L 1825 4091 \n",
       "L 703 3866 \n",
       "L 703 4441 \n",
       "L 1819 4666 \n",
       "L 2450 4666 \n",
       "L 2450 531 \n",
       "L 3481 531 \n",
       "L 3481 0 \n",
       "L 794 0 \n",
       "L 794 531 \n",
       "z\n",
       "\" id=\"DejaVuSans-31\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#DejaVuSans-31\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_4\">\n",
       "     <g id=\"line2d_7\">\n",
       "      <path clip-path=\"url(#pd7d289fb05)\" d=\"M 314.112875 244.078125 \n",
       "L 314.112875 22.318125 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_8\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"314.112875\" xlink:href=\"#mc41df1ea6f\" y=\"244.078125\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_4\">\n",
       "      <!-- 1.5 -->\n",
       "      <g transform=\"translate(306.161312 258.676562)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-31\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_5\">\n",
       "     <g id=\"line2d_9\">\n",
       "      <path clip-path=\"url(#pd7d289fb05)\" d=\"M 402.921333 244.078125 \n",
       "L 402.921333 22.318125 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_10\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"402.921333\" xlink:href=\"#mc41df1ea6f\" y=\"244.078125\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_5\">\n",
       "      <!-- 2.0 -->\n",
       "      <g transform=\"translate(394.96977 258.676562)scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path d=\"M 1228 531 \n",
       "L 3431 531 \n",
       "L 3431 0 \n",
       "L 469 0 \n",
       "L 469 531 \n",
       "Q 828 903 1448 1529 \n",
       "Q 2069 2156 2228 2338 \n",
       "Q 2531 2678 2651 2914 \n",
       "Q 2772 3150 2772 3378 \n",
       "Q 2772 3750 2511 3984 \n",
       "Q 2250 4219 1831 4219 \n",
       "Q 1534 4219 1204 4116 \n",
       "Q 875 4013 500 3803 \n",
       "L 500 4441 \n",
       "Q 881 4594 1212 4672 \n",
       "Q 1544 4750 1819 4750 \n",
       "Q 2544 4750 2975 4387 \n",
       "Q 3406 4025 3406 3419 \n",
       "Q 3406 3131 3298 2873 \n",
       "Q 3191 2616 2906 2266 \n",
       "Q 2828 2175 2409 1742 \n",
       "Q 1991 1309 1228 531 \n",
       "z\n",
       "\" id=\"DejaVuSans-32\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#DejaVuSans-32\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_6\">\n",
       "     <g id=\"line2d_11\">\n",
       "      <path clip-path=\"url(#pd7d289fb05)\" d=\"M 491.729791 244.078125 \n",
       "L 491.729791 22.318125 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_12\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"491.729791\" xlink:href=\"#mc41df1ea6f\" y=\"244.078125\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_6\">\n",
       "      <!-- 2.5 -->\n",
       "      <g transform=\"translate(483.778229 258.676562)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-32\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_7\">\n",
       "     <g id=\"line2d_13\">\n",
       "      <path clip-path=\"url(#pd7d289fb05)\" d=\"M 580.538249 244.078125 \n",
       "L 580.538249 22.318125 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_14\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"580.538249\" xlink:href=\"#mc41df1ea6f\" y=\"244.078125\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_7\">\n",
       "      <!-- 3.0 -->\n",
       "      <g transform=\"translate(572.586687 258.676562)scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path d=\"M 2597 2516 \n",
       "Q 3050 2419 3304 2112 \n",
       "Q 3559 1806 3559 1356 \n",
       "Q 3559 666 3084 287 \n",
       "Q 2609 -91 1734 -91 \n",
       "Q 1441 -91 1130 -33 \n",
       "Q 819 25 488 141 \n",
       "L 488 750 \n",
       "Q 750 597 1062 519 \n",
       "Q 1375 441 1716 441 \n",
       "Q 2309 441 2620 675 \n",
       "Q 2931 909 2931 1356 \n",
       "Q 2931 1769 2642 2001 \n",
       "Q 2353 2234 1838 2234 \n",
       "L 1294 2234 \n",
       "L 1294 2753 \n",
       "L 1863 2753 \n",
       "Q 2328 2753 2575 2939 \n",
       "Q 2822 3125 2822 3475 \n",
       "Q 2822 3834 2567 4026 \n",
       "Q 2313 4219 1838 4219 \n",
       "Q 1578 4219 1281 4162 \n",
       "Q 984 4106 628 3988 \n",
       "L 628 4550 \n",
       "Q 988 4650 1302 4700 \n",
       "Q 1616 4750 1894 4750 \n",
       "Q 2613 4750 3031 4423 \n",
       "Q 3450 4097 3450 3541 \n",
       "Q 3450 3153 3228 2886 \n",
       "Q 3006 2619 2597 2516 \n",
       "z\n",
       "\" id=\"DejaVuSans-33\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#DejaVuSans-33\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_8\">\n",
       "     <!-- $\\Omega$ -->\n",
       "     <g transform=\"translate(322.8375 272.354687)scale(0.1 -0.1)\">\n",
       "      <defs>\n",
       "       <path d=\"M 4647 556 \n",
       "L 4647 0 \n",
       "L 2772 0 \n",
       "L 2772 556 \n",
       "Q 3325 859 3634 1378 \n",
       "Q 3944 1897 3944 2528 \n",
       "Q 3944 3278 3531 3731 \n",
       "Q 3119 4184 2444 4184 \n",
       "Q 1769 4184 1355 3729 \n",
       "Q 941 3275 941 2528 \n",
       "Q 941 1897 1250 1378 \n",
       "Q 1563 859 2119 556 \n",
       "L 2119 0 \n",
       "L 244 0 \n",
       "L 244 556 \n",
       "L 1241 556 \n",
       "Q 747 991 519 1456 \n",
       "Q 294 1922 294 2497 \n",
       "Q 294 3491 894 4106 \n",
       "Q 1491 4722 2444 4722 \n",
       "Q 3391 4722 3994 4106 \n",
       "Q 4594 3494 4594 2528 \n",
       "Q 4594 1922 4372 1459 \n",
       "Q 4150 997 3647 556 \n",
       "L 4647 556 \n",
       "z\n",
       "\" id=\"DejaVuSans-3a9\" transform=\"scale(0.015625)\"/>\n",
       "      </defs>\n",
       "      <use transform=\"translate(0 0.21875)\" xlink:href=\"#DejaVuSans-3a9\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_2\">\n",
       "    <g id=\"ytick_1\">\n",
       "     <g id=\"line2d_15\">\n",
       "      <path clip-path=\"url(#pd7d289fb05)\" d=\"M 47.6875 244.078125 \n",
       "L 605.6875 244.078125 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_16\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L -3.5 0 \n",
       "\" id=\"m8c4ad78bb2\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"47.6875\" xlink:href=\"#m8c4ad78bb2\" y=\"244.078125\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_9\">\n",
       "      <!-- 0 -->\n",
       "      <g transform=\"translate(34.325 247.877344)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_2\">\n",
       "     <g id=\"line2d_17\">\n",
       "      <path clip-path=\"url(#pd7d289fb05)\" d=\"M 47.6875 199.726125 \n",
       "L 605.6875 199.726125 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_18\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"47.6875\" xlink:href=\"#m8c4ad78bb2\" y=\"199.726125\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_10\">\n",
       "      <!-- 20 -->\n",
       "      <g transform=\"translate(27.9625 203.525344)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-32\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_3\">\n",
       "     <g id=\"line2d_19\">\n",
       "      <path clip-path=\"url(#pd7d289fb05)\" d=\"M 47.6875 155.374125 \n",
       "L 605.6875 155.374125 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_20\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"47.6875\" xlink:href=\"#m8c4ad78bb2\" y=\"155.374125\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_11\">\n",
       "      <!-- 40 -->\n",
       "      <g transform=\"translate(27.9625 159.173344)scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path d=\"M 2419 4116 \n",
       "L 825 1625 \n",
       "L 2419 1625 \n",
       "L 2419 4116 \n",
       "z\n",
       "M 2253 4666 \n",
       "L 3047 4666 \n",
       "L 3047 1625 \n",
       "L 3713 1625 \n",
       "L 3713 1100 \n",
       "L 3047 1100 \n",
       "L 3047 0 \n",
       "L 2419 0 \n",
       "L 2419 1100 \n",
       "L 313 1100 \n",
       "L 313 1709 \n",
       "L 2253 4666 \n",
       "z\n",
       "\" id=\"DejaVuSans-34\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#DejaVuSans-34\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_4\">\n",
       "     <g id=\"line2d_21\">\n",
       "      <path clip-path=\"url(#pd7d289fb05)\" d=\"M 47.6875 111.022125 \n",
       "L 605.6875 111.022125 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_22\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"47.6875\" xlink:href=\"#m8c4ad78bb2\" y=\"111.022125\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_12\">\n",
       "      <!-- 60 -->\n",
       "      <g transform=\"translate(27.9625 114.821344)scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path d=\"M 2113 2584 \n",
       "Q 1688 2584 1439 2293 \n",
       "Q 1191 2003 1191 1497 \n",
       "Q 1191 994 1439 701 \n",
       "Q 1688 409 2113 409 \n",
       "Q 2538 409 2786 701 \n",
       "Q 3034 994 3034 1497 \n",
       "Q 3034 2003 2786 2293 \n",
       "Q 2538 2584 2113 2584 \n",
       "z\n",
       "M 3366 4563 \n",
       "L 3366 3988 \n",
       "Q 3128 4100 2886 4159 \n",
       "Q 2644 4219 2406 4219 \n",
       "Q 1781 4219 1451 3797 \n",
       "Q 1122 3375 1075 2522 \n",
       "Q 1259 2794 1537 2939 \n",
       "Q 1816 3084 2150 3084 \n",
       "Q 2853 3084 3261 2657 \n",
       "Q 3669 2231 3669 1497 \n",
       "Q 3669 778 3244 343 \n",
       "Q 2819 -91 2113 -91 \n",
       "Q 1303 -91 875 529 \n",
       "Q 447 1150 447 2328 \n",
       "Q 447 3434 972 4092 \n",
       "Q 1497 4750 2381 4750 \n",
       "Q 2619 4750 2861 4703 \n",
       "Q 3103 4656 3366 4563 \n",
       "z\n",
       "\" id=\"DejaVuSans-36\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#DejaVuSans-36\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_5\">\n",
       "     <g id=\"line2d_23\">\n",
       "      <path clip-path=\"url(#pd7d289fb05)\" d=\"M 47.6875 66.670125 \n",
       "L 605.6875 66.670125 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_24\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"47.6875\" xlink:href=\"#m8c4ad78bb2\" y=\"66.670125\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_13\">\n",
       "      <!-- 80 -->\n",
       "      <g transform=\"translate(27.9625 70.469344)scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path d=\"M 2034 2216 \n",
       "Q 1584 2216 1326 1975 \n",
       "Q 1069 1734 1069 1313 \n",
       "Q 1069 891 1326 650 \n",
       "Q 1584 409 2034 409 \n",
       "Q 2484 409 2743 651 \n",
       "Q 3003 894 3003 1313 \n",
       "Q 3003 1734 2745 1975 \n",
       "Q 2488 2216 2034 2216 \n",
       "z\n",
       "M 1403 2484 \n",
       "Q 997 2584 770 2862 \n",
       "Q 544 3141 544 3541 \n",
       "Q 544 4100 942 4425 \n",
       "Q 1341 4750 2034 4750 \n",
       "Q 2731 4750 3128 4425 \n",
       "Q 3525 4100 3525 3541 \n",
       "Q 3525 3141 3298 2862 \n",
       "Q 3072 2584 2669 2484 \n",
       "Q 3125 2378 3379 2068 \n",
       "Q 3634 1759 3634 1313 \n",
       "Q 3634 634 3220 271 \n",
       "Q 2806 -91 2034 -91 \n",
       "Q 1263 -91 848 271 \n",
       "Q 434 634 434 1313 \n",
       "Q 434 1759 690 2068 \n",
       "Q 947 2378 1403 2484 \n",
       "z\n",
       "M 1172 3481 \n",
       "Q 1172 3119 1398 2916 \n",
       "Q 1625 2713 2034 2713 \n",
       "Q 2441 2713 2670 2916 \n",
       "Q 2900 3119 2900 3481 \n",
       "Q 2900 3844 2670 4047 \n",
       "Q 2441 4250 2034 4250 \n",
       "Q 1625 4250 1398 4047 \n",
       "Q 1172 3844 1172 3481 \n",
       "z\n",
       "\" id=\"DejaVuSans-38\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#DejaVuSans-38\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_6\">\n",
       "     <g id=\"line2d_25\">\n",
       "      <path clip-path=\"url(#pd7d289fb05)\" d=\"M 47.6875 22.318125 \n",
       "L 605.6875 22.318125 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_26\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"47.6875\" xlink:href=\"#m8c4ad78bb2\" y=\"22.318125\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_14\">\n",
       "      <!-- 100 -->\n",
       "      <g transform=\"translate(21.6 26.117344)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-31\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_15\">\n",
       "     <!-- $Q^2/12$ -->\n",
       "     <g transform=\"translate(15.520313 147.948125)rotate(-90)scale(0.1 -0.1)\">\n",
       "      <defs>\n",
       "       <path d=\"M 2309 -84 \n",
       "Q 2275 -88 2237 -89 \n",
       "Q 2200 -91 2125 -91 \n",
       "Q 1250 -91 756 411 \n",
       "Q 263 913 263 1797 \n",
       "Q 263 2319 452 2844 \n",
       "Q 641 3369 978 3788 \n",
       "Q 1369 4269 1858 4509 \n",
       "Q 2347 4750 2938 4750 \n",
       "Q 3794 4750 4287 4245 \n",
       "Q 4781 3741 4781 2869 \n",
       "Q 4781 1928 4265 1147 \n",
       "Q 3750 366 2919 44 \n",
       "L 3553 -825 \n",
       "L 2847 -825 \n",
       "L 2309 -84 \n",
       "z\n",
       "M 2919 4238 \n",
       "Q 2400 4238 2003 3986 \n",
       "Q 1606 3734 1313 3219 \n",
       "Q 1125 2891 1026 2522 \n",
       "Q 928 2153 928 1778 \n",
       "Q 928 1128 1239 775 \n",
       "Q 1550 422 2119 422 \n",
       "Q 2631 422 3032 676 \n",
       "Q 3434 931 3719 1434 \n",
       "Q 3909 1772 4009 2142 \n",
       "Q 4109 2513 4109 2881 \n",
       "Q 4109 3528 3796 3883 \n",
       "Q 3484 4238 2919 4238 \n",
       "z\n",
       "\" id=\"DejaVuSans-Oblique-51\" transform=\"scale(0.015625)\"/>\n",
       "       <path d=\"M 1625 4666 \n",
       "L 2156 4666 \n",
       "L 531 -594 \n",
       "L 0 -594 \n",
       "L 1625 4666 \n",
       "z\n",
       "\" id=\"DejaVuSans-2f\" transform=\"scale(0.015625)\"/>\n",
       "      </defs>\n",
       "      <use transform=\"translate(0 0.765625)\" xlink:href=\"#DejaVuSans-Oblique-51\"/>\n",
       "      <use transform=\"translate(85.911458 39.046875)scale(0.7)\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "      <use transform=\"translate(133.181966 0.765625)\" xlink:href=\"#DejaVuSans-2f\"/>\n",
       "      <use transform=\"translate(166.873372 0.765625)\" xlink:href=\"#DejaVuSans-31\"/>\n",
       "      <use transform=\"translate(230.496419 0.765625)\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_27\">\n",
       "    <path clip-path=\"url(#pd7d289fb05)\" d=\"M 47.6875 243.416138 \n",
       "L 52.046875 238.991893 \n",
       "L 56.40625 238.846717 \n",
       "L 60.765625 239.490178 \n",
       "L 65.125 239.29186 \n",
       "L 73.84375 237.330917 \n",
       "L 78.203125 237.634897 \n",
       "L 82.5625 238.841971 \n",
       "L 86.921875 237.748629 \n",
       "L 91.28125 237.006564 \n",
       "L 95.640625 237.153309 \n",
       "L 100 239.298381 \n",
       "L 104.359375 237.567056 \n",
       "L 108.71875 236.064331 \n",
       "L 113.078125 237.323765 \n",
       "L 117.4375 237.183991 \n",
       "L 121.796875 236.032086 \n",
       "L 126.15625 237.382999 \n",
       "L 130.515625 237.510795 \n",
       "L 134.875 235.95002 \n",
       "L 139.234375 233.182493 \n",
       "L 143.59375 233.772707 \n",
       "L 147.953125 233.908863 \n",
       "L 152.3125 233.528619 \n",
       "L 156.671875 234.140797 \n",
       "L 161.03125 233.664034 \n",
       "L 165.390625 233.037364 \n",
       "L 169.75 229.327002 \n",
       "L 182.828125 224.538962 \n",
       "L 187.1875 219.395085 \n",
       "L 191.546875 216.69014 \n",
       "L 195.90625 211.626034 \n",
       "L 200.265625 208.53248 \n",
       "L 204.625 190.760982 \n",
       "L 208.984375 173.713891 \n",
       "L 213.34375 170.060743 \n",
       "L 217.703125 154.389428 \n",
       "L 222.0625 141.731617 \n",
       "L 226.421875 75.269029 \n",
       "L 230.78125 88.731684 \n",
       "L 235.140625 117.247355 \n",
       "L 239.5 110.309958 \n",
       "L 243.859375 134.200578 \n",
       "L 248.21875 136.123588 \n",
       "L 252.578125 163.626163 \n",
       "L 256.9375 177.958281 \n",
       "L 261.296875 197.380221 \n",
       "L 265.65625 214.676649 \n",
       "L 270.015625 219.49418 \n",
       "L 274.375 219.489805 \n",
       "L 278.734375 218.51871 \n",
       "L 283.09375 219.838539 \n",
       "L 287.453125 228.124978 \n",
       "L 291.8125 229.603101 \n",
       "L 296.171875 232.415848 \n",
       "L 300.53125 231.487247 \n",
       "L 304.890625 232.537303 \n",
       "L 309.25 236.444247 \n",
       "L 313.609375 238.489644 \n",
       "L 317.96875 237.16932 \n",
       "L 322.328125 237.796799 \n",
       "L 326.6875 239.615475 \n",
       "L 331.046875 239.885741 \n",
       "L 335.40625 240.679094 \n",
       "L 344.125 241.082404 \n",
       "L 348.484375 241.059293 \n",
       "L 352.84375 240.861184 \n",
       "L 357.203125 241.144635 \n",
       "L 361.5625 241.798667 \n",
       "L 365.921875 241.402853 \n",
       "L 370.28125 241.604774 \n",
       "L 374.640625 242.125796 \n",
       "L 379 242.055656 \n",
       "L 383.359375 242.334543 \n",
       "L 387.71875 242.45558 \n",
       "L 392.078125 242.354111 \n",
       "L 405.15625 242.32899 \n",
       "L 409.515625 242.528046 \n",
       "L 422.59375 242.819618 \n",
       "L 426.953125 242.636316 \n",
       "L 431.3125 242.605225 \n",
       "L 448.75 243.050176 \n",
       "L 453.109375 243.010953 \n",
       "L 461.828125 243.236388 \n",
       "L 474.90625 243.183908 \n",
       "L 487.984375 243.395028 \n",
       "L 492.34375 243.219728 \n",
       "L 496.703125 243.168389 \n",
       "L 501.0625 243.334535 \n",
       "L 518.5 243.335795 \n",
       "L 522.859375 243.489931 \n",
       "L 527.21875 243.384155 \n",
       "L 531.578125 243.457693 \n",
       "L 544.65625 243.415126 \n",
       "L 553.375 243.530165 \n",
       "L 557.734375 243.411248 \n",
       "L 566.453125 243.547073 \n",
       "L 570.8125 243.385953 \n",
       "L 579.53125 243.479015 \n",
       "L 583.890625 243.250404 \n",
       "L 588.25 243.175397 \n",
       "L 596.96875 243.422898 \n",
       "L 601.328125 243.380611 \n",
       "L 605.6875 243.707963 \n",
       "L 605.6875 243.707963 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_28\">\n",
       "    <path clip-path=\"url(#pd7d289fb05)\" d=\"M 47.6875 238.72225 \n",
       "L 66.214844 238.607181 \n",
       "L 83.652344 238.270047 \n",
       "L 98.910156 237.747263 \n",
       "L 111.988281 237.070085 \n",
       "L 122.886719 236.281689 \n",
       "L 131.605469 235.449509 \n",
       "L 139.234375 234.523685 \n",
       "L 145.773438 233.537077 \n",
       "L 152.3125 232.317386 \n",
       "L 157.761719 231.070617 \n",
       "L 162.121094 229.881372 \n",
       "L 166.480469 228.47928 \n",
       "L 170.839844 226.812875 \n",
       "L 174.109375 225.349736 \n",
       "L 177.378906 223.664036 \n",
       "L 180.648438 221.710544 \n",
       "L 183.917969 219.432584 \n",
       "L 186.097656 217.699134 \n",
       "L 188.277344 215.764449 \n",
       "L 190.457031 213.598433 \n",
       "L 192.636719 211.165749 \n",
       "L 194.816406 208.424912 \n",
       "L 196.996094 205.32728 \n",
       "L 199.175781 201.816006 \n",
       "L 201.355469 197.825073 \n",
       "L 203.535156 193.278622 \n",
       "L 205.714844 188.090982 \n",
       "L 207.894531 182.168118 \n",
       "L 210.074219 175.411626 \n",
       "L 212.253906 167.727126 \n",
       "L 214.433594 159.039712 \n",
       "L 216.613281 149.319932 \n",
       "L 218.792969 138.623923 \n",
       "L 222.0625 121.236483 \n",
       "L 225.332031 103.747917 \n",
       "L 227.511719 93.433546 \n",
       "L 228.601563 89.0904 \n",
       "L 229.691406 85.482556 \n",
       "L 230.78125 82.742659 \n",
       "L 231.871094 80.981434 \n",
       "L 232.960938 80.277831 \n",
       "L 234.050781 80.671337 \n",
       "L 235.140625 82.157769 \n",
       "L 236.230469 84.689301 \n",
       "L 237.320312 88.178786 \n",
       "L 238.410156 92.507607 \n",
       "L 239.5 97.535777 \n",
       "L 241.679688 109.087478 \n",
       "L 249.308594 152.092097 \n",
       "L 251.488281 162.637623 \n",
       "L 253.667969 172.020503 \n",
       "L 255.847656 180.264422 \n",
       "L 258.027344 187.453192 \n",
       "L 260.207031 193.69698 \n",
       "L 262.386719 199.112012 \n",
       "L 264.566406 203.809527 \n",
       "L 266.746094 207.890533 \n",
       "L 268.925781 211.443948 \n",
       "L 271.105469 214.546589 \n",
       "L 273.285156 217.264061 \n",
       "L 275.464844 219.652019 \n",
       "L 277.644531 221.757511 \n",
       "L 279.824219 223.620253 \n",
       "L 282.003906 225.273774 \n",
       "L 285.273438 227.422556 \n",
       "L 288.542969 229.241427 \n",
       "L 291.8125 230.79156 \n",
       "L 295.082031 232.121186 \n",
       "L 299.441406 233.616045 \n",
       "L 303.800781 234.856401 \n",
       "L 309.25 236.128142 \n",
       "L 314.699219 237.160074 \n",
       "L 321.238281 238.158291 \n",
       "L 328.867188 239.075466 \n",
       "L 337.585938 239.886326 \n",
       "L 348.484375 240.649191 \n",
       "L 361.5625 241.314794 \n",
       "L 377.910156 241.898425 \n",
       "L 398.617188 242.393448 \n",
       "L 425.863281 242.804243 \n",
       "L 462.917969 243.127881 \n",
       "L 517.410156 243.364307 \n",
       "L 596.96875 243.473246 \n",
       "L 604.597656 243.474197 \n",
       "L 604.597656 243.474197 \n",
       "\" style=\"fill:none;stroke:#008000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_3\">\n",
       "    <path d=\"M 47.6875 244.078125 \n",
       "L 47.6875 22.318125 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_4\">\n",
       "    <path d=\"M 605.6875 244.078125 \n",
       "L 605.6875 22.318125 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_5\">\n",
       "    <path d=\"M 47.6875 244.078125 \n",
       "L 605.6875 244.078125 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_6\">\n",
       "    <path d=\"M 47.6875 22.318125 \n",
       "L 605.6875 22.318125 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"text_16\">\n",
       "    <!-- Estimated PSD and transfer function of requantization noise -->\n",
       "    <g transform=\"translate(146.296562 16.318125)scale(0.12 -0.12)\">\n",
       "     <defs>\n",
       "      <path d=\"M 628 4666 \n",
       "L 3578 4666 \n",
       "L 3578 4134 \n",
       "L 1259 4134 \n",
       "L 1259 2753 \n",
       "L 3481 2753 \n",
       "L 3481 2222 \n",
       "L 1259 2222 \n",
       "L 1259 531 \n",
       "L 3634 531 \n",
       "L 3634 0 \n",
       "L 628 0 \n",
       "L 628 4666 \n",
       "z\n",
       "\" id=\"DejaVuSans-45\" transform=\"scale(0.015625)\"/>\n",
       "      <path d=\"M 2834 3397 \n",
       "L 2834 2853 \n",
       "Q 2591 2978 2328 3040 \n",
       "Q 2066 3103 1784 3103 \n",
       "Q 1356 3103 1142 2972 \n",
       "Q 928 2841 928 2578 \n",
       "Q 928 2378 1081 2264 \n",
       "Q 1234 2150 1697 2047 \n",
       "L 1894 2003 \n",
       "Q 2506 1872 2764 1633 \n",
       "Q 3022 1394 3022 966 \n",
       "Q 3022 478 2636 193 \n",
       "Q 2250 -91 1575 -91 \n",
       "Q 1294 -91 989 -36 \n",
       "Q 684 19 347 128 \n",
       "L 347 722 \n",
       "Q 666 556 975 473 \n",
       "Q 1284 391 1588 391 \n",
       "Q 1994 391 2212 530 \n",
       "Q 2431 669 2431 922 \n",
       "Q 2431 1156 2273 1281 \n",
       "Q 2116 1406 1581 1522 \n",
       "L 1381 1569 \n",
       "Q 847 1681 609 1914 \n",
       "Q 372 2147 372 2553 \n",
       "Q 372 3047 722 3315 \n",
       "Q 1072 3584 1716 3584 \n",
       "Q 2034 3584 2315 3537 \n",
       "Q 2597 3491 2834 3397 \n",
       "z\n",
       "\" id=\"DejaVuSans-73\" transform=\"scale(0.015625)\"/>\n",
       "      <path d=\"M 1172 4494 \n",
       "L 1172 3500 \n",
       "L 2356 3500 \n",
       "L 2356 3053 \n",
       "L 1172 3053 \n",
       "L 1172 1153 \n",
       "Q 1172 725 1289 603 \n",
       "Q 1406 481 1766 481 \n",
       "L 2356 481 \n",
       "L 2356 0 \n",
       "L 1766 0 \n",
       "Q 1100 0 847 248 \n",
       "Q 594 497 594 1153 \n",
       "L 594 3053 \n",
       "L 172 3053 \n",
       "L 172 3500 \n",
       "L 594 3500 \n",
       "L 594 4494 \n",
       "L 1172 4494 \n",
       "z\n",
       "\" id=\"DejaVuSans-74\" transform=\"scale(0.015625)\"/>\n",
       "      <path d=\"M 603 3500 \n",
       "L 1178 3500 \n",
       "L 1178 0 \n",
       "L 603 0 \n",
       "L 603 3500 \n",
       "z\n",
       "M 603 4863 \n",
       "L 1178 4863 \n",
       "L 1178 4134 \n",
       "L 603 4134 \n",
       "L 603 4863 \n",
       "z\n",
       "\" id=\"DejaVuSans-69\" transform=\"scale(0.015625)\"/>\n",
       "      <path d=\"M 3328 2828 \n",
       "Q 3544 3216 3844 3400 \n",
       "Q 4144 3584 4550 3584 \n",
       "Q 5097 3584 5394 3201 \n",
       "Q 5691 2819 5691 2113 \n",
       "L 5691 0 \n",
       "L 5113 0 \n",
       "L 5113 2094 \n",
       "Q 5113 2597 4934 2840 \n",
       "Q 4756 3084 4391 3084 \n",
       "Q 3944 3084 3684 2787 \n",
       "Q 3425 2491 3425 1978 \n",
       "L 3425 0 \n",
       "L 2847 0 \n",
       "L 2847 2094 \n",
       "Q 2847 2600 2669 2842 \n",
       "Q 2491 3084 2119 3084 \n",
       "Q 1678 3084 1418 2786 \n",
       "Q 1159 2488 1159 1978 \n",
       "L 1159 0 \n",
       "L 581 0 \n",
       "L 581 3500 \n",
       "L 1159 3500 \n",
       "L 1159 2956 \n",
       "Q 1356 3278 1631 3431 \n",
       "Q 1906 3584 2284 3584 \n",
       "Q 2666 3584 2933 3390 \n",
       "Q 3200 3197 3328 2828 \n",
       "z\n",
       "\" id=\"DejaVuSans-6d\" transform=\"scale(0.015625)\"/>\n",
       "      <path d=\"M 2194 1759 \n",
       "Q 1497 1759 1228 1600 \n",
       "Q 959 1441 959 1056 \n",
       "Q 959 750 1161 570 \n",
       "Q 1363 391 1709 391 \n",
       "Q 2188 391 2477 730 \n",
       "Q 2766 1069 2766 1631 \n",
       "L 2766 1759 \n",
       "L 2194 1759 \n",
       "z\n",
       "M 3341 1997 \n",
       "L 3341 0 \n",
       "L 2766 0 \n",
       "L 2766 531 \n",
       "Q 2569 213 2275 61 \n",
       "Q 1981 -91 1556 -91 \n",
       "Q 1019 -91 701 211 \n",
       "Q 384 513 384 1019 \n",
       "Q 384 1609 779 1909 \n",
       "Q 1175 2209 1959 2209 \n",
       "L 2766 2209 \n",
       "L 2766 2266 \n",
       "Q 2766 2663 2505 2880 \n",
       "Q 2244 3097 1772 3097 \n",
       "Q 1472 3097 1187 3025 \n",
       "Q 903 2953 641 2809 \n",
       "L 641 3341 \n",
       "Q 956 3463 1253 3523 \n",
       "Q 1550 3584 1831 3584 \n",
       "Q 2591 3584 2966 3190 \n",
       "Q 3341 2797 3341 1997 \n",
       "z\n",
       "\" id=\"DejaVuSans-61\" transform=\"scale(0.015625)\"/>\n",
       "      <path d=\"M 3597 1894 \n",
       "L 3597 1613 \n",
       "L 953 1613 \n",
       "Q 991 1019 1311 708 \n",
       "Q 1631 397 2203 397 \n",
       "Q 2534 397 2845 478 \n",
       "Q 3156 559 3463 722 \n",
       "L 3463 178 \n",
       "Q 3153 47 2828 -22 \n",
       "Q 2503 -91 2169 -91 \n",
       "Q 1331 -91 842 396 \n",
       "Q 353 884 353 1716 \n",
       "Q 353 2575 817 3079 \n",
       "Q 1281 3584 2069 3584 \n",
       "Q 2775 3584 3186 3129 \n",
       "Q 3597 2675 3597 1894 \n",
       "z\n",
       "M 3022 2063 \n",
       "Q 3016 2534 2758 2815 \n",
       "Q 2500 3097 2075 3097 \n",
       "Q 1594 3097 1305 2825 \n",
       "Q 1016 2553 972 2059 \n",
       "L 3022 2063 \n",
       "z\n",
       "\" id=\"DejaVuSans-65\" transform=\"scale(0.015625)\"/>\n",
       "      <path d=\"M 2906 2969 \n",
       "L 2906 4863 \n",
       "L 3481 4863 \n",
       "L 3481 0 \n",
       "L 2906 0 \n",
       "L 2906 525 \n",
       "Q 2725 213 2448 61 \n",
       "Q 2172 -91 1784 -91 \n",
       "Q 1150 -91 751 415 \n",
       "Q 353 922 353 1747 \n",
       "Q 353 2572 751 3078 \n",
       "Q 1150 3584 1784 3584 \n",
       "Q 2172 3584 2448 3432 \n",
       "Q 2725 3281 2906 2969 \n",
       "z\n",
       "M 947 1747 \n",
       "Q 947 1113 1208 752 \n",
       "Q 1469 391 1925 391 \n",
       "Q 2381 391 2643 752 \n",
       "Q 2906 1113 2906 1747 \n",
       "Q 2906 2381 2643 2742 \n",
       "Q 2381 3103 1925 3103 \n",
       "Q 1469 3103 1208 2742 \n",
       "Q 947 2381 947 1747 \n",
       "z\n",
       "\" id=\"DejaVuSans-64\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"DejaVuSans-20\" transform=\"scale(0.015625)\"/>\n",
       "      <path d=\"M 1259 4147 \n",
       "L 1259 2394 \n",
       "L 2053 2394 \n",
       "Q 2494 2394 2734 2622 \n",
       "Q 2975 2850 2975 3272 \n",
       "Q 2975 3691 2734 3919 \n",
       "Q 2494 4147 2053 4147 \n",
       "L 1259 4147 \n",
       "z\n",
       "M 628 4666 \n",
       "L 2053 4666 \n",
       "Q 2838 4666 3239 4311 \n",
       "Q 3641 3956 3641 3272 \n",
       "Q 3641 2581 3239 2228 \n",
       "Q 2838 1875 2053 1875 \n",
       "L 1259 1875 \n",
       "L 1259 0 \n",
       "L 628 0 \n",
       "L 628 4666 \n",
       "z\n",
       "\" id=\"DejaVuSans-50\" transform=\"scale(0.015625)\"/>\n",
       "      <path d=\"M 3425 4513 \n",
       "L 3425 3897 \n",
       "Q 3066 4069 2747 4153 \n",
       "Q 2428 4238 2131 4238 \n",
       "Q 1616 4238 1336 4038 \n",
       "Q 1056 3838 1056 3469 \n",
       "Q 1056 3159 1242 3001 \n",
       "Q 1428 2844 1947 2747 \n",
       "L 2328 2669 \n",
       "Q 3034 2534 3370 2195 \n",
       "Q 3706 1856 3706 1288 \n",
       "Q 3706 609 3251 259 \n",
       "Q 2797 -91 1919 -91 \n",
       "Q 1588 -91 1214 -16 \n",
       "Q 841 59 441 206 \n",
       "L 441 856 \n",
       "Q 825 641 1194 531 \n",
       "Q 1563 422 1919 422 \n",
       "Q 2459 422 2753 634 \n",
       "Q 3047 847 3047 1241 \n",
       "Q 3047 1584 2836 1778 \n",
       "Q 2625 1972 2144 2069 \n",
       "L 1759 2144 \n",
       "Q 1053 2284 737 2584 \n",
       "Q 422 2884 422 3419 \n",
       "Q 422 4038 858 4394 \n",
       "Q 1294 4750 2059 4750 \n",
       "Q 2388 4750 2728 4690 \n",
       "Q 3069 4631 3425 4513 \n",
       "z\n",
       "\" id=\"DejaVuSans-53\" transform=\"scale(0.015625)\"/>\n",
       "      <path d=\"M 1259 4147 \n",
       "L 1259 519 \n",
       "L 2022 519 \n",
       "Q 2988 519 3436 956 \n",
       "Q 3884 1394 3884 2338 \n",
       "Q 3884 3275 3436 3711 \n",
       "Q 2988 4147 2022 4147 \n",
       "L 1259 4147 \n",
       "z\n",
       "M 628 4666 \n",
       "L 1925 4666 \n",
       "Q 3281 4666 3915 4102 \n",
       "Q 4550 3538 4550 2338 \n",
       "Q 4550 1131 3912 565 \n",
       "Q 3275 0 1925 0 \n",
       "L 628 0 \n",
       "L 628 4666 \n",
       "z\n",
       "\" id=\"DejaVuSans-44\" transform=\"scale(0.015625)\"/>\n",
       "      <path d=\"M 3513 2113 \n",
       "L 3513 0 \n",
       "L 2938 0 \n",
       "L 2938 2094 \n",
       "Q 2938 2591 2744 2837 \n",
       "Q 2550 3084 2163 3084 \n",
       "Q 1697 3084 1428 2787 \n",
       "Q 1159 2491 1159 1978 \n",
       "L 1159 0 \n",
       "L 581 0 \n",
       "L 581 3500 \n",
       "L 1159 3500 \n",
       "L 1159 2956 \n",
       "Q 1366 3272 1645 3428 \n",
       "Q 1925 3584 2291 3584 \n",
       "Q 2894 3584 3203 3211 \n",
       "Q 3513 2838 3513 2113 \n",
       "z\n",
       "\" id=\"DejaVuSans-6e\" transform=\"scale(0.015625)\"/>\n",
       "      <path d=\"M 2631 2963 \n",
       "Q 2534 3019 2420 3045 \n",
       "Q 2306 3072 2169 3072 \n",
       "Q 1681 3072 1420 2755 \n",
       "Q 1159 2438 1159 1844 \n",
       "L 1159 0 \n",
       "L 581 0 \n",
       "L 581 3500 \n",
       "L 1159 3500 \n",
       "L 1159 2956 \n",
       "Q 1341 3275 1631 3429 \n",
       "Q 1922 3584 2338 3584 \n",
       "Q 2397 3584 2469 3576 \n",
       "Q 2541 3569 2628 3553 \n",
       "L 2631 2963 \n",
       "z\n",
       "\" id=\"DejaVuSans-72\" transform=\"scale(0.015625)\"/>\n",
       "      <path d=\"M 2375 4863 \n",
       "L 2375 4384 \n",
       "L 1825 4384 \n",
       "Q 1516 4384 1395 4259 \n",
       "Q 1275 4134 1275 3809 \n",
       "L 1275 3500 \n",
       "L 2222 3500 \n",
       "L 2222 3053 \n",
       "L 1275 3053 \n",
       "L 1275 0 \n",
       "L 697 0 \n",
       "L 697 3053 \n",
       "L 147 3053 \n",
       "L 147 3500 \n",
       "L 697 3500 \n",
       "L 697 3744 \n",
       "Q 697 4328 969 4595 \n",
       "Q 1241 4863 1831 4863 \n",
       "L 2375 4863 \n",
       "z\n",
       "\" id=\"DejaVuSans-66\" transform=\"scale(0.015625)\"/>\n",
       "      <path d=\"M 544 1381 \n",
       "L 544 3500 \n",
       "L 1119 3500 \n",
       "L 1119 1403 \n",
       "Q 1119 906 1312 657 \n",
       "Q 1506 409 1894 409 \n",
       "Q 2359 409 2629 706 \n",
       "Q 2900 1003 2900 1516 \n",
       "L 2900 3500 \n",
       "L 3475 3500 \n",
       "L 3475 0 \n",
       "L 2900 0 \n",
       "L 2900 538 \n",
       "Q 2691 219 2414 64 \n",
       "Q 2138 -91 1772 -91 \n",
       "Q 1169 -91 856 284 \n",
       "Q 544 659 544 1381 \n",
       "z\n",
       "M 1991 3584 \n",
       "L 1991 3584 \n",
       "z\n",
       "\" id=\"DejaVuSans-75\" transform=\"scale(0.015625)\"/>\n",
       "      <path d=\"M 3122 3366 \n",
       "L 3122 2828 \n",
       "Q 2878 2963 2633 3030 \n",
       "Q 2388 3097 2138 3097 \n",
       "Q 1578 3097 1268 2742 \n",
       "Q 959 2388 959 1747 \n",
       "Q 959 1106 1268 751 \n",
       "Q 1578 397 2138 397 \n",
       "Q 2388 397 2633 464 \n",
       "Q 2878 531 3122 666 \n",
       "L 3122 134 \n",
       "Q 2881 22 2623 -34 \n",
       "Q 2366 -91 2075 -91 \n",
       "Q 1284 -91 818 406 \n",
       "Q 353 903 353 1747 \n",
       "Q 353 2603 823 3093 \n",
       "Q 1294 3584 2113 3584 \n",
       "Q 2378 3584 2631 3529 \n",
       "Q 2884 3475 3122 3366 \n",
       "z\n",
       "\" id=\"DejaVuSans-63\" transform=\"scale(0.015625)\"/>\n",
       "      <path d=\"M 1959 3097 \n",
       "Q 1497 3097 1228 2736 \n",
       "Q 959 2375 959 1747 \n",
       "Q 959 1119 1226 758 \n",
       "Q 1494 397 1959 397 \n",
       "Q 2419 397 2687 759 \n",
       "Q 2956 1122 2956 1747 \n",
       "Q 2956 2369 2687 2733 \n",
       "Q 2419 3097 1959 3097 \n",
       "z\n",
       "M 1959 3584 \n",
       "Q 2709 3584 3137 3096 \n",
       "Q 3566 2609 3566 1747 \n",
       "Q 3566 888 3137 398 \n",
       "Q 2709 -91 1959 -91 \n",
       "Q 1206 -91 779 398 \n",
       "Q 353 888 353 1747 \n",
       "Q 353 2609 779 3096 \n",
       "Q 1206 3584 1959 3584 \n",
       "z\n",
       "\" id=\"DejaVuSans-6f\" transform=\"scale(0.015625)\"/>\n",
       "      <path d=\"M 947 1747 \n",
       "Q 947 1113 1208 752 \n",
       "Q 1469 391 1925 391 \n",
       "Q 2381 391 2643 752 \n",
       "Q 2906 1113 2906 1747 \n",
       "Q 2906 2381 2643 2742 \n",
       "Q 2381 3103 1925 3103 \n",
       "Q 1469 3103 1208 2742 \n",
       "Q 947 2381 947 1747 \n",
       "z\n",
       "M 2906 525 \n",
       "Q 2725 213 2448 61 \n",
       "Q 2172 -91 1784 -91 \n",
       "Q 1150 -91 751 415 \n",
       "Q 353 922 353 1747 \n",
       "Q 353 2572 751 3078 \n",
       "Q 1150 3584 1784 3584 \n",
       "Q 2172 3584 2448 3432 \n",
       "Q 2725 3281 2906 2969 \n",
       "L 2906 3500 \n",
       "L 3481 3500 \n",
       "L 3481 -1331 \n",
       "L 2906 -1331 \n",
       "L 2906 525 \n",
       "z\n",
       "\" id=\"DejaVuSans-71\" transform=\"scale(0.015625)\"/>\n",
       "      <path d=\"M 353 3500 \n",
       "L 3084 3500 \n",
       "L 3084 2975 \n",
       "L 922 459 \n",
       "L 3084 459 \n",
       "L 3084 0 \n",
       "L 275 0 \n",
       "L 275 525 \n",
       "L 2438 3041 \n",
       "L 353 3041 \n",
       "L 353 3500 \n",
       "z\n",
       "\" id=\"DejaVuSans-7a\" transform=\"scale(0.015625)\"/>\n",
       "     </defs>\n",
       "     <use xlink:href=\"#DejaVuSans-45\"/>\n",
       "     <use x=\"63.183594\" xlink:href=\"#DejaVuSans-73\"/>\n",
       "     <use x=\"115.283203\" xlink:href=\"#DejaVuSans-74\"/>\n",
       "     <use x=\"154.492188\" xlink:href=\"#DejaVuSans-69\"/>\n",
       "     <use x=\"182.275391\" xlink:href=\"#DejaVuSans-6d\"/>\n",
       "     <use x=\"279.6875\" xlink:href=\"#DejaVuSans-61\"/>\n",
       "     <use x=\"340.966797\" xlink:href=\"#DejaVuSans-74\"/>\n",
       "     <use x=\"380.175781\" xlink:href=\"#DejaVuSans-65\"/>\n",
       "     <use x=\"441.699219\" xlink:href=\"#DejaVuSans-64\"/>\n",
       "     <use x=\"505.175781\" xlink:href=\"#DejaVuSans-20\"/>\n",
       "     <use x=\"536.962891\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "     <use x=\"597.265625\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "     <use x=\"660.742188\" xlink:href=\"#DejaVuSans-44\"/>\n",
       "     <use x=\"737.744141\" xlink:href=\"#DejaVuSans-20\"/>\n",
       "     <use x=\"769.53125\" xlink:href=\"#DejaVuSans-61\"/>\n",
       "     <use x=\"830.810547\" xlink:href=\"#DejaVuSans-6e\"/>\n",
       "     <use x=\"894.189453\" xlink:href=\"#DejaVuSans-64\"/>\n",
       "     <use x=\"957.666016\" xlink:href=\"#DejaVuSans-20\"/>\n",
       "     <use x=\"989.453125\" xlink:href=\"#DejaVuSans-74\"/>\n",
       "     <use x=\"1028.662109\" xlink:href=\"#DejaVuSans-72\"/>\n",
       "     <use x=\"1069.775391\" xlink:href=\"#DejaVuSans-61\"/>\n",
       "     <use x=\"1131.054688\" xlink:href=\"#DejaVuSans-6e\"/>\n",
       "     <use x=\"1194.433594\" xlink:href=\"#DejaVuSans-73\"/>\n",
       "     <use x=\"1246.533203\" xlink:href=\"#DejaVuSans-66\"/>\n",
       "     <use x=\"1281.738281\" xlink:href=\"#DejaVuSans-65\"/>\n",
       "     <use x=\"1343.261719\" xlink:href=\"#DejaVuSans-72\"/>\n",
       "     <use x=\"1384.375\" xlink:href=\"#DejaVuSans-20\"/>\n",
       "     <use x=\"1416.162109\" xlink:href=\"#DejaVuSans-66\"/>\n",
       "     <use x=\"1451.367188\" xlink:href=\"#DejaVuSans-75\"/>\n",
       "     <use x=\"1514.746094\" xlink:href=\"#DejaVuSans-6e\"/>\n",
       "     <use x=\"1578.125\" xlink:href=\"#DejaVuSans-63\"/>\n",
       "     <use x=\"1633.105469\" xlink:href=\"#DejaVuSans-74\"/>\n",
       "     <use x=\"1672.314453\" xlink:href=\"#DejaVuSans-69\"/>\n",
       "     <use x=\"1700.097656\" xlink:href=\"#DejaVuSans-6f\"/>\n",
       "     <use x=\"1761.279297\" xlink:href=\"#DejaVuSans-6e\"/>\n",
       "     <use x=\"1824.658203\" xlink:href=\"#DejaVuSans-20\"/>\n",
       "     <use x=\"1856.445312\" xlink:href=\"#DejaVuSans-6f\"/>\n",
       "     <use x=\"1917.626953\" xlink:href=\"#DejaVuSans-66\"/>\n",
       "     <use x=\"1952.832031\" xlink:href=\"#DejaVuSans-20\"/>\n",
       "     <use x=\"1984.619141\" xlink:href=\"#DejaVuSans-72\"/>\n",
       "     <use x=\"2023.482422\" xlink:href=\"#DejaVuSans-65\"/>\n",
       "     <use x=\"2085.005859\" xlink:href=\"#DejaVuSans-71\"/>\n",
       "     <use x=\"2148.482422\" xlink:href=\"#DejaVuSans-75\"/>\n",
       "     <use x=\"2211.861328\" xlink:href=\"#DejaVuSans-61\"/>\n",
       "     <use x=\"2273.140625\" xlink:href=\"#DejaVuSans-6e\"/>\n",
       "     <use x=\"2336.519531\" xlink:href=\"#DejaVuSans-74\"/>\n",
       "     <use x=\"2375.728516\" xlink:href=\"#DejaVuSans-69\"/>\n",
       "     <use x=\"2403.511719\" xlink:href=\"#DejaVuSans-7a\"/>\n",
       "     <use x=\"2456.001953\" xlink:href=\"#DejaVuSans-61\"/>\n",
       "     <use x=\"2517.28125\" xlink:href=\"#DejaVuSans-74\"/>\n",
       "     <use x=\"2556.490234\" xlink:href=\"#DejaVuSans-69\"/>\n",
       "     <use x=\"2584.273438\" xlink:href=\"#DejaVuSans-6f\"/>\n",
       "     <use x=\"2645.455078\" xlink:href=\"#DejaVuSans-6e\"/>\n",
       "     <use x=\"2708.833984\" xlink:href=\"#DejaVuSans-20\"/>\n",
       "     <use x=\"2740.621094\" xlink:href=\"#DejaVuSans-6e\"/>\n",
       "     <use x=\"2804\" xlink:href=\"#DejaVuSans-6f\"/>\n",
       "     <use x=\"2865.181641\" xlink:href=\"#DejaVuSans-69\"/>\n",
       "     <use x=\"2892.964844\" xlink:href=\"#DejaVuSans-73\"/>\n",
       "     <use x=\"2945.064453\" xlink:href=\"#DejaVuSans-65\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"legend_1\">\n",
       "    <g id=\"patch_7\">\n",
       "     <path d=\"M 525.5875 64.718125 \n",
       "L 598.6875 64.718125 \n",
       "Q 600.6875 64.718125 600.6875 62.718125 \n",
       "L 600.6875 29.318125 \n",
       "Q 600.6875 27.318125 598.6875 27.318125 \n",
       "L 525.5875 27.318125 \n",
       "Q 523.5875 27.318125 523.5875 29.318125 \n",
       "L 523.5875 62.718125 \n",
       "Q 523.5875 64.718125 525.5875 64.718125 \n",
       "z\n",
       "\" style=\"fill:#ffffff;opacity:0.8;stroke:#cccccc;stroke-linejoin:miter;\"/>\n",
       "    </g>\n",
       "    <g id=\"line2d_29\">\n",
       "     <path d=\"M 527.5875 38.538437 \n",
       "L 547.5875 38.538437 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    </g>\n",
       "    <g id=\"line2d_30\"/>\n",
       "    <g id=\"text_17\">\n",
       "     <!-- $\\hat{\\Phi}_{ee}(e^{j \\Omega})$ -->\n",
       "     <g transform=\"translate(555.5875 42.038437)scale(0.1 -0.1)\">\n",
       "      <defs>\n",
       "       <path d=\"M -1831 5119 \n",
       "L -1369 5119 \n",
       "L -603 3944 \n",
       "L -1038 3944 \n",
       "L -1600 4709 \n",
       "L -2163 3944 \n",
       "L -2597 3944 \n",
       "L -1831 5119 \n",
       "z\n",
       "M -1600 3584 \n",
       "L -1600 3584 \n",
       "z\n",
       "\" id=\"DejaVuSans-302\" transform=\"scale(0.015625)\"/>\n",
       "       <path d=\"M 2206 3644 \n",
       "Q 1738 3578 1431 3306 \n",
       "Q 1025 2947 1025 2328 \n",
       "Q 1025 1713 1431 1353 \n",
       "Q 1738 1081 2206 1016 \n",
       "L 2206 3644 \n",
       "z\n",
       "M 2838 1016 \n",
       "Q 3306 1081 3613 1353 \n",
       "Q 4013 1713 4013 2328 \n",
       "Q 4013 2947 3613 3306 \n",
       "Q 3306 3578 2838 3644 \n",
       "L 2838 1016 \n",
       "z\n",
       "M 2206 494 \n",
       "Q 1444 563 950 981 \n",
       "Q 359 1481 359 2328 \n",
       "Q 359 3175 950 3678 \n",
       "Q 1441 4100 2206 4169 \n",
       "L 2206 4666 \n",
       "L 2838 4666 \n",
       "L 2838 4169 \n",
       "Q 3600 4097 4091 3678 \n",
       "Q 4678 3175 4678 2328 \n",
       "Q 4678 1484 4091 981 \n",
       "Q 3600 563 2838 491 \n",
       "L 2838 0 \n",
       "L 2206 0 \n",
       "L 2206 494 \n",
       "z\n",
       "\" id=\"DejaVuSans-3a6\" transform=\"scale(0.015625)\"/>\n",
       "       <path d=\"M 3078 2063 \n",
       "Q 3088 2113 3092 2166 \n",
       "Q 3097 2219 3097 2272 \n",
       "Q 3097 2653 2873 2875 \n",
       "Q 2650 3097 2266 3097 \n",
       "Q 1838 3097 1509 2826 \n",
       "Q 1181 2556 1013 2059 \n",
       "L 3078 2063 \n",
       "z\n",
       "M 3578 1613 \n",
       "L 903 1613 \n",
       "Q 884 1494 878 1425 \n",
       "Q 872 1356 872 1306 \n",
       "Q 872 872 1139 634 \n",
       "Q 1406 397 1894 397 \n",
       "Q 2269 397 2603 481 \n",
       "Q 2938 566 3225 728 \n",
       "L 3116 159 \n",
       "Q 2806 34 2476 -28 \n",
       "Q 2147 -91 1806 -91 \n",
       "Q 1078 -91 686 257 \n",
       "Q 294 606 294 1247 \n",
       "Q 294 1794 489 2264 \n",
       "Q 684 2734 1063 3103 \n",
       "Q 1306 3334 1642 3459 \n",
       "Q 1978 3584 2356 3584 \n",
       "Q 2950 3584 3301 3228 \n",
       "Q 3653 2872 3653 2272 \n",
       "Q 3653 2128 3634 1964 \n",
       "Q 3616 1800 3578 1613 \n",
       "z\n",
       "\" id=\"DejaVuSans-Oblique-65\" transform=\"scale(0.015625)\"/>\n",
       "       <path d=\"M 1984 4856 \n",
       "Q 1566 4138 1362 3434 \n",
       "Q 1159 2731 1159 2009 \n",
       "Q 1159 1288 1364 580 \n",
       "Q 1569 -128 1984 -844 \n",
       "L 1484 -844 \n",
       "Q 1016 -109 783 600 \n",
       "Q 550 1309 550 2009 \n",
       "Q 550 2706 781 3412 \n",
       "Q 1013 4119 1484 4856 \n",
       "L 1984 4856 \n",
       "z\n",
       "\" id=\"DejaVuSans-28\" transform=\"scale(0.015625)\"/>\n",
       "       <path d=\"M 928 3500 \n",
       "L 1503 3500 \n",
       "L 813 -63 \n",
       "L 809 -78 \n",
       "Q 694 -675 544 -897 \n",
       "Q 403 -1106 132 -1218 \n",
       "Q -138 -1331 -506 -1331 \n",
       "L -722 -1331 \n",
       "L -628 -844 \n",
       "L -481 -844 \n",
       "Q -144 -844 -1 -703 \n",
       "Q 141 -563 238 -63 \n",
       "L 928 3500 \n",
       "z\n",
       "M 1197 4863 \n",
       "L 1772 4863 \n",
       "L 1631 4134 \n",
       "L 1056 4134 \n",
       "L 1197 4863 \n",
       "z\n",
       "\" id=\"DejaVuSans-Oblique-6a\" transform=\"scale(0.015625)\"/>\n",
       "       <path d=\"M 513 4856 \n",
       "L 1013 4856 \n",
       "Q 1481 4119 1714 3412 \n",
       "Q 1947 2706 1947 2009 \n",
       "Q 1947 1309 1714 600 \n",
       "Q 1481 -109 1013 -844 \n",
       "L 513 -844 \n",
       "Q 928 -128 1133 580 \n",
       "Q 1338 1288 1338 2009 \n",
       "Q 1338 2731 1133 3434 \n",
       "Q 928 4138 513 4856 \n",
       "z\n",
       "\" id=\"DejaVuSans-29\" transform=\"scale(0.015625)\"/>\n",
       "      </defs>\n",
       "      <use transform=\"translate(74.255859 30.015625)\" xlink:href=\"#DejaVuSans-302\"/>\n",
       "      <use transform=\"translate(0 0.609375)\" xlink:href=\"#DejaVuSans-3a6\"/>\n",
       "      <use transform=\"translate(79.667969 -15.796875)scale(0.7)\" xlink:href=\"#DejaVuSans-Oblique-65\"/>\n",
       "      <use transform=\"translate(122.734375 -15.796875)scale(0.7)\" xlink:href=\"#DejaVuSans-Oblique-65\"/>\n",
       "      <use transform=\"translate(168.535156 0.609375)\" xlink:href=\"#DejaVuSans-28\"/>\n",
       "      <use transform=\"translate(207.548828 0.609375)\" xlink:href=\"#DejaVuSans-Oblique-65\"/>\n",
       "      <use transform=\"translate(273.722161 38.890625)scale(0.7)\" xlink:href=\"#DejaVuSans-Oblique-6a\"/>\n",
       "      <use transform=\"translate(293.170404 38.890625)scale(0.7)\" xlink:href=\"#DejaVuSans-3a9\"/>\n",
       "      <use transform=\"translate(349.39599 0.609375)\" xlink:href=\"#DejaVuSans-29\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"line2d_31\">\n",
       "     <path d=\"M 527.5875 54.818125 \n",
       "L 547.5875 54.818125 \n",
       "\" style=\"fill:none;stroke:#008000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    </g>\n",
       "    <g id=\"line2d_32\"/>\n",
       "    <g id=\"text_18\">\n",
       "     <!-- $|H(e^{j \\Omega})|^2$ -->\n",
       "     <g transform=\"translate(555.5875 58.318125)scale(0.1 -0.1)\">\n",
       "      <defs>\n",
       "       <path d=\"M 1344 4891 \n",
       "L 1344 -1509 \n",
       "L 813 -1509 \n",
       "L 813 4891 \n",
       "L 1344 4891 \n",
       "z\n",
       "\" id=\"DejaVuSans-7c\" transform=\"scale(0.015625)\"/>\n",
       "       <path d=\"M 1081 4666 \n",
       "L 1716 4666 \n",
       "L 1344 2753 \n",
       "L 3634 2753 \n",
       "L 4006 4666 \n",
       "L 4641 4666 \n",
       "L 3731 0 \n",
       "L 3097 0 \n",
       "L 3531 2222 \n",
       "L 1241 2222 \n",
       "L 806 0 \n",
       "L 172 0 \n",
       "L 1081 4666 \n",
       "z\n",
       "\" id=\"DejaVuSans-Oblique-48\" transform=\"scale(0.015625)\"/>\n",
       "      </defs>\n",
       "      <use transform=\"translate(0 0.529687)\" xlink:href=\"#DejaVuSans-7c\"/>\n",
       "      <use transform=\"translate(33.691406 0.529687)\" xlink:href=\"#DejaVuSans-Oblique-48\"/>\n",
       "      <use transform=\"translate(108.886719 0.529687)\" xlink:href=\"#DejaVuSans-28\"/>\n",
       "      <use transform=\"translate(147.900391 0.529687)\" xlink:href=\"#DejaVuSans-Oblique-65\"/>\n",
       "      <use transform=\"translate(214.073724 38.810937)scale(0.7)\" xlink:href=\"#DejaVuSans-Oblique-6a\"/>\n",
       "      <use transform=\"translate(233.521966 38.810937)scale(0.7)\" xlink:href=\"#DejaVuSans-3a9\"/>\n",
       "      <use transform=\"translate(289.747552 0.529687)\" xlink:href=\"#DejaVuSans-29\"/>\n",
       "      <use transform=\"translate(328.761224 0.529687)\" xlink:href=\"#DejaVuSans-7c\"/>\n",
       "      <use transform=\"translate(363.409661 38.810937)scale(0.7)\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "  </g>\n",
       " </g>\n",
       " <defs>\n",
       "  <clipPath id=\"pd7d289fb05\">\n",
       "   <rect height=\"221.76\" width=\"558\" x=\"47.6875\" y=\"22.318125\"/>\n",
       "  </clipPath>\n",
       " </defs>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "<Figure size 960x384 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import scipy.signal as sig\n",
    "\n",
    "\n",
    "N = 8192  # length of signals\n",
    "w = 8  # wordlength for requantization of multiplications\n",
    "\n",
    "\n",
    "def uniform_midtread_quantizer(x):\n",
    "    \"\"\"Uniform mid-tread quantizer w/o limiter.\"\"\"\n",
    "    return Q * np.floor(x / Q + 1 / 2)\n",
    "\n",
    "\n",
    "def no_quantizer(x):\n",
    "    \"\"\"Dummy quantizer.\"\"\"\n",
    "    return x\n",
    "\n",
    "\n",
    "def sos_df1(x, a, requantize=None):\n",
    "    \"\"\"Realization of a recursive SOS with round-off of multiplications.\"\"\"\n",
    "    y = np.zeros(len(x) + 2)  # initial value appended\n",
    "    for k in range(len(x)):\n",
    "        y[k] = x[k] - requantize(a[1] * y[k - 1]) - requantize(a[2] * y[k - 2])\n",
    "\n",
    "    return y[0:-2]\n",
    "\n",
    "\n",
    "# cofficients of the SOS\n",
    "p = 0.90 * np.array([np.exp(1j * np.pi / 3), np.exp(-1j * np.pi / 3)])\n",
    "a = np.poly(p)\n",
    "# quantization step\n",
    "Q = 1 / (2 ** (w - 1))\n",
    "\n",
    "# compute input signal\n",
    "x = np.random.uniform(low=-1, high=1, size=N)\n",
    "# compute output signals w and w/o requantization\n",
    "yQ = sos_df1(x, a, requantize=uniform_midtread_quantizer)\n",
    "y = sos_df1(x, a, requantize=no_quantizer)\n",
    "# compute requantization error\n",
    "e = yQ - y\n",
    "# Signal-to-noise ratio\n",
    "SNR = 10 * np.log10(np.var(y) / np.var(e))\n",
    "print(\"SNR due to requantization: %f dB\" % SNR)\n",
    "\n",
    "# estimate PSD of requantization error\n",
    "nf, Pxx = sig.welch(e, window=\"hamming\", nperseg=256, noverlap=128)\n",
    "Pxx = 0.5 * Pxx  # due to normalization in scipy.signal\n",
    "Om = 2 * np.pi * nf\n",
    "# compute frequency response of system\n",
    "w, H = sig.freqz([1, 0, 0], a)\n",
    "\n",
    "\n",
    "# plot results\n",
    "plt.figure(figsize=(10, 4))\n",
    "plt.plot(Om, Pxx / Q**2 * 12, \"b\", label=r\"$\\hat{\\Phi}_{ee}(e^{j \\Omega})$\")\n",
    "plt.plot(w, np.abs(H) ** 2 * 2, \"g\", label=r\"$|H(e^{j \\Omega})|^2$\")\n",
    "plt.title(\"Estimated PSD and transfer function of requantization noise\")\n",
    "plt.xlabel(r\"$\\Omega$\")\n",
    "plt.ylabel(r\"$Q^2/12$\")\n",
    "plt.axis([0, np.pi, 0, 100])\n",
    "plt.legend()\n",
    "plt.grid()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Small Limit Cycles\n",
    "\n",
    "Besides the requantization noise, recursive filters may be subject to periodic oscillations present at the output. These undesired oscillations are termed *limit cycles*. Small limit cycles emerge from the additive round-off noise due to requantization after a multiplication. The feedback in a recursive filter leads to a feedback of the requantization noise. This may lead to a periodic output signal with an amplitude range of some quantization steps $Q$, even after the input signal is zero. The presence, amplitude and frequency of small limit cycles depends on the location of poles and the structure of the filter. A detailed treatment of this phenomenon is beyond the scope of this notebook and can be found in the literature."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Example - Small limit cycles of a SOS\n",
    "\n",
    "The following example illustrates small limit cycles for the system investigated in the previous example. The input signal is uniformly distributed white noise till time-index $k=256$ and zero for the remainder."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/pdf": "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\n",
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
       "  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
       "<svg height=\"226.194375pt\" version=\"1.1\" viewBox=\"0 0 614.804688 226.194375\" width=\"614.804688pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
       " <metadata>\n",
       "  <rdf:RDF xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\">\n",
       "   <cc:Work>\n",
       "    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n",
       "    <dc:date>2022-01-24T11:52:09.846078</dc:date>\n",
       "    <dc:format>image/svg+xml</dc:format>\n",
       "    <dc:creator>\n",
       "     <cc:Agent>\n",
       "      <dc:title>Matplotlib v3.4.3, https://matplotlib.org/</dc:title>\n",
       "     </cc:Agent>\n",
       "    </dc:creator>\n",
       "   </cc:Work>\n",
       "  </rdf:RDF>\n",
       " </metadata>\n",
       " <defs>\n",
       "  <style type=\"text/css\">*{stroke-linecap:butt;stroke-linejoin:round;}</style>\n",
       " </defs>\n",
       " <g id=\"figure_1\">\n",
       "  <g id=\"patch_1\">\n",
       "   <path d=\"M 0 226.194375 \n",
       "L 614.804688 226.194375 \n",
       "L 614.804688 0 \n",
       "L 0 0 \n",
       "z\n",
       "\" style=\"fill:#ffffff;\"/>\n",
       "  </g>\n",
       "  <g id=\"axes_1\">\n",
       "   <g id=\"patch_2\">\n",
       "    <path d=\"M 49.604688 188.638125 \n",
       "L 607.604687 188.638125 \n",
       "L 607.604687 22.318125 \n",
       "L 49.604688 22.318125 \n",
       "z\n",
       "\" style=\"fill:#ffffff;\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_1\">\n",
       "    <g id=\"xtick_1\">\n",
       "     <g id=\"line2d_1\">\n",
       "      <path clip-path=\"url(#pe67ba8d3f0)\" d=\"M 74.968324 188.638125 \n",
       "L 74.968324 22.318125 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_2\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L 0 3.5 \n",
       "\" id=\"m8944b36beb\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"74.968324\" xlink:href=\"#m8944b36beb\" y=\"188.638125\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_1\">\n",
       "      <!-- 0 -->\n",
       "      <g transform=\"translate(71.787074 203.236563)scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path d=\"M 2034 4250 \n",
       "Q 1547 4250 1301 3770 \n",
       "Q 1056 3291 1056 2328 \n",
       "Q 1056 1369 1301 889 \n",
       "Q 1547 409 2034 409 \n",
       "Q 2525 409 2770 889 \n",
       "Q 3016 1369 3016 2328 \n",
       "Q 3016 3291 2770 3770 \n",
       "Q 2525 4250 2034 4250 \n",
       "z\n",
       "M 2034 4750 \n",
       "Q 2819 4750 3233 4129 \n",
       "Q 3647 3509 3647 2328 \n",
       "Q 3647 1150 3233 529 \n",
       "Q 2819 -91 2034 -91 \n",
       "Q 1250 -91 836 529 \n",
       "Q 422 1150 422 2328 \n",
       "Q 422 3509 836 4129 \n",
       "Q 1250 4750 2034 4750 \n",
       "z\n",
       "\" id=\"DejaVuSans-30\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_2\">\n",
       "     <g id=\"line2d_3\">\n",
       "      <path clip-path=\"url(#pe67ba8d3f0)\" d=\"M 154.291659 188.638125 \n",
       "L 154.291659 22.318125 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_4\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"154.291659\" xlink:href=\"#m8944b36beb\" y=\"188.638125\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_2\">\n",
       "      <!-- 200 -->\n",
       "      <g transform=\"translate(144.747909 203.236563)scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path d=\"M 1228 531 \n",
       "L 3431 531 \n",
       "L 3431 0 \n",
       "L 469 0 \n",
       "L 469 531 \n",
       "Q 828 903 1448 1529 \n",
       "Q 2069 2156 2228 2338 \n",
       "Q 2531 2678 2651 2914 \n",
       "Q 2772 3150 2772 3378 \n",
       "Q 2772 3750 2511 3984 \n",
       "Q 2250 4219 1831 4219 \n",
       "Q 1534 4219 1204 4116 \n",
       "Q 875 4013 500 3803 \n",
       "L 500 4441 \n",
       "Q 881 4594 1212 4672 \n",
       "Q 1544 4750 1819 4750 \n",
       "Q 2544 4750 2975 4387 \n",
       "Q 3406 4025 3406 3419 \n",
       "Q 3406 3131 3298 2873 \n",
       "Q 3191 2616 2906 2266 \n",
       "Q 2828 2175 2409 1742 \n",
       "Q 1991 1309 1228 531 \n",
       "z\n",
       "\" id=\"DejaVuSans-32\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#DejaVuSans-32\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_3\">\n",
       "     <g id=\"line2d_5\">\n",
       "      <path clip-path=\"url(#pe67ba8d3f0)\" d=\"M 233.614994 188.638125 \n",
       "L 233.614994 22.318125 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_6\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"233.614994\" xlink:href=\"#m8944b36beb\" y=\"188.638125\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_3\">\n",
       "      <!-- 400 -->\n",
       "      <g transform=\"translate(224.071244 203.236563)scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path d=\"M 2419 4116 \n",
       "L 825 1625 \n",
       "L 2419 1625 \n",
       "L 2419 4116 \n",
       "z\n",
       "M 2253 4666 \n",
       "L 3047 4666 \n",
       "L 3047 1625 \n",
       "L 3713 1625 \n",
       "L 3713 1100 \n",
       "L 3047 1100 \n",
       "L 3047 0 \n",
       "L 2419 0 \n",
       "L 2419 1100 \n",
       "L 313 1100 \n",
       "L 313 1709 \n",
       "L 2253 4666 \n",
       "z\n",
       "\" id=\"DejaVuSans-34\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#DejaVuSans-34\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_4\">\n",
       "     <g id=\"line2d_7\">\n",
       "      <path clip-path=\"url(#pe67ba8d3f0)\" d=\"M 312.938329 188.638125 \n",
       "L 312.938329 22.318125 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_8\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"312.938329\" xlink:href=\"#m8944b36beb\" y=\"188.638125\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_4\">\n",
       "      <!-- 600 -->\n",
       "      <g transform=\"translate(303.394579 203.236563)scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path d=\"M 2113 2584 \n",
       "Q 1688 2584 1439 2293 \n",
       "Q 1191 2003 1191 1497 \n",
       "Q 1191 994 1439 701 \n",
       "Q 1688 409 2113 409 \n",
       "Q 2538 409 2786 701 \n",
       "Q 3034 994 3034 1497 \n",
       "Q 3034 2003 2786 2293 \n",
       "Q 2538 2584 2113 2584 \n",
       "z\n",
       "M 3366 4563 \n",
       "L 3366 3988 \n",
       "Q 3128 4100 2886 4159 \n",
       "Q 2644 4219 2406 4219 \n",
       "Q 1781 4219 1451 3797 \n",
       "Q 1122 3375 1075 2522 \n",
       "Q 1259 2794 1537 2939 \n",
       "Q 1816 3084 2150 3084 \n",
       "Q 2853 3084 3261 2657 \n",
       "Q 3669 2231 3669 1497 \n",
       "Q 3669 778 3244 343 \n",
       "Q 2819 -91 2113 -91 \n",
       "Q 1303 -91 875 529 \n",
       "Q 447 1150 447 2328 \n",
       "Q 447 3434 972 4092 \n",
       "Q 1497 4750 2381 4750 \n",
       "Q 2619 4750 2861 4703 \n",
       "Q 3103 4656 3366 4563 \n",
       "z\n",
       "\" id=\"DejaVuSans-36\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#DejaVuSans-36\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_5\">\n",
       "     <g id=\"line2d_9\">\n",
       "      <path clip-path=\"url(#pe67ba8d3f0)\" d=\"M 392.261664 188.638125 \n",
       "L 392.261664 22.318125 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_10\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"392.261664\" xlink:href=\"#m8944b36beb\" y=\"188.638125\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_5\">\n",
       "      <!-- 800 -->\n",
       "      <g transform=\"translate(382.717914 203.236563)scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path d=\"M 2034 2216 \n",
       "Q 1584 2216 1326 1975 \n",
       "Q 1069 1734 1069 1313 \n",
       "Q 1069 891 1326 650 \n",
       "Q 1584 409 2034 409 \n",
       "Q 2484 409 2743 651 \n",
       "Q 3003 894 3003 1313 \n",
       "Q 3003 1734 2745 1975 \n",
       "Q 2488 2216 2034 2216 \n",
       "z\n",
       "M 1403 2484 \n",
       "Q 997 2584 770 2862 \n",
       "Q 544 3141 544 3541 \n",
       "Q 544 4100 942 4425 \n",
       "Q 1341 4750 2034 4750 \n",
       "Q 2731 4750 3128 4425 \n",
       "Q 3525 4100 3525 3541 \n",
       "Q 3525 3141 3298 2862 \n",
       "Q 3072 2584 2669 2484 \n",
       "Q 3125 2378 3379 2068 \n",
       "Q 3634 1759 3634 1313 \n",
       "Q 3634 634 3220 271 \n",
       "Q 2806 -91 2034 -91 \n",
       "Q 1263 -91 848 271 \n",
       "Q 434 634 434 1313 \n",
       "Q 434 1759 690 2068 \n",
       "Q 947 2378 1403 2484 \n",
       "z\n",
       "M 1172 3481 \n",
       "Q 1172 3119 1398 2916 \n",
       "Q 1625 2713 2034 2713 \n",
       "Q 2441 2713 2670 2916 \n",
       "Q 2900 3119 2900 3481 \n",
       "Q 2900 3844 2670 4047 \n",
       "Q 2441 4250 2034 4250 \n",
       "Q 1625 4250 1398 4047 \n",
       "Q 1172 3844 1172 3481 \n",
       "z\n",
       "\" id=\"DejaVuSans-38\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#DejaVuSans-38\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_6\">\n",
       "     <g id=\"line2d_11\">\n",
       "      <path clip-path=\"url(#pe67ba8d3f0)\" d=\"M 471.584999 188.638125 \n",
       "L 471.584999 22.318125 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_12\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"471.584999\" xlink:href=\"#m8944b36beb\" y=\"188.638125\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_6\">\n",
       "      <!-- 1000 -->\n",
       "      <g transform=\"translate(458.859999 203.236563)scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path d=\"M 794 531 \n",
       "L 1825 531 \n",
       "L 1825 4091 \n",
       "L 703 3866 \n",
       "L 703 4441 \n",
       "L 1819 4666 \n",
       "L 2450 4666 \n",
       "L 2450 531 \n",
       "L 3481 531 \n",
       "L 3481 0 \n",
       "L 794 0 \n",
       "L 794 531 \n",
       "z\n",
       "\" id=\"DejaVuSans-31\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#DejaVuSans-31\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_7\">\n",
       "     <g id=\"line2d_13\">\n",
       "      <path clip-path=\"url(#pe67ba8d3f0)\" d=\"M 550.908334 188.638125 \n",
       "L 550.908334 22.318125 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_14\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"550.908334\" xlink:href=\"#m8944b36beb\" y=\"188.638125\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_7\">\n",
       "      <!-- 1200 -->\n",
       "      <g transform=\"translate(538.183334 203.236563)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-31\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_8\">\n",
       "     <!-- $k$ -->\n",
       "     <g transform=\"translate(325.704688 216.914688)scale(0.1 -0.1)\">\n",
       "      <defs>\n",
       "       <path d=\"M 1172 4863 \n",
       "L 1747 4863 \n",
       "L 1197 2028 \n",
       "L 3169 3500 \n",
       "L 3916 3500 \n",
       "L 1716 1825 \n",
       "L 3322 0 \n",
       "L 2625 0 \n",
       "L 1131 1709 \n",
       "L 800 0 \n",
       "L 225 0 \n",
       "L 1172 4863 \n",
       "z\n",
       "\" id=\"DejaVuSans-Oblique-6b\" transform=\"scale(0.015625)\"/>\n",
       "      </defs>\n",
       "      <use transform=\"translate(0 0.015625)\" xlink:href=\"#DejaVuSans-Oblique-6b\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_2\">\n",
       "    <g id=\"ytick_1\">\n",
       "     <g id=\"line2d_15\">\n",
       "      <path clip-path=\"url(#pe67ba8d3f0)\" d=\"M 49.604688 167.561789 \n",
       "L 607.604687 167.561789 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_16\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L -3.5 0 \n",
       "\" id=\"meca3a0c644\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"49.604688\" xlink:href=\"#meca3a0c644\" y=\"167.561789\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_9\">\n",
       "      <!-- −50 -->\n",
       "      <g transform=\"translate(21.5 171.361008)scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path d=\"M 678 2272 \n",
       "L 4684 2272 \n",
       "L 4684 1741 \n",
       "L 678 1741 \n",
       "L 678 2272 \n",
       "z\n",
       "\" id=\"DejaVuSans-2212\" transform=\"scale(0.015625)\"/>\n",
       "        <path d=\"M 691 4666 \n",
       "L 3169 4666 \n",
       "L 3169 4134 \n",
       "L 1269 4134 \n",
       "L 1269 2991 \n",
       "Q 1406 3038 1543 3061 \n",
       "Q 1681 3084 1819 3084 \n",
       "Q 2600 3084 3056 2656 \n",
       "Q 3513 2228 3513 1497 \n",
       "Q 3513 744 3044 326 \n",
       "Q 2575 -91 1722 -91 \n",
       "Q 1428 -91 1123 -41 \n",
       "Q 819 9 494 109 \n",
       "L 494 744 \n",
       "Q 775 591 1075 516 \n",
       "Q 1375 441 1709 441 \n",
       "Q 2250 441 2565 725 \n",
       "Q 2881 1009 2881 1497 \n",
       "Q 2881 1984 2565 2268 \n",
       "Q 2250 2553 1709 2553 \n",
       "Q 1456 2553 1204 2497 \n",
       "Q 953 2441 691 2322 \n",
       "L 691 4666 \n",
       "z\n",
       "\" id=\"DejaVuSans-35\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#DejaVuSans-2212\"/>\n",
       "       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-35\"/>\n",
       "       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_2\">\n",
       "     <g id=\"line2d_17\">\n",
       "      <path clip-path=\"url(#pe67ba8d3f0)\" d=\"M 49.604688 144.830936 \n",
       "L 607.604687 144.830936 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_18\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"49.604688\" xlink:href=\"#meca3a0c644\" y=\"144.830936\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_10\">\n",
       "      <!-- −40 -->\n",
       "      <g transform=\"translate(21.5 148.630155)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-2212\"/>\n",
       "       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-34\"/>\n",
       "       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_3\">\n",
       "     <g id=\"line2d_19\">\n",
       "      <path clip-path=\"url(#pe67ba8d3f0)\" d=\"M 49.604688 122.100083 \n",
       "L 607.604687 122.100083 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_20\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"49.604688\" xlink:href=\"#meca3a0c644\" y=\"122.100083\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_11\">\n",
       "      <!-- −30 -->\n",
       "      <g transform=\"translate(21.5 125.899302)scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path d=\"M 2597 2516 \n",
       "Q 3050 2419 3304 2112 \n",
       "Q 3559 1806 3559 1356 \n",
       "Q 3559 666 3084 287 \n",
       "Q 2609 -91 1734 -91 \n",
       "Q 1441 -91 1130 -33 \n",
       "Q 819 25 488 141 \n",
       "L 488 750 \n",
       "Q 750 597 1062 519 \n",
       "Q 1375 441 1716 441 \n",
       "Q 2309 441 2620 675 \n",
       "Q 2931 909 2931 1356 \n",
       "Q 2931 1769 2642 2001 \n",
       "Q 2353 2234 1838 2234 \n",
       "L 1294 2234 \n",
       "L 1294 2753 \n",
       "L 1863 2753 \n",
       "Q 2328 2753 2575 2939 \n",
       "Q 2822 3125 2822 3475 \n",
       "Q 2822 3834 2567 4026 \n",
       "Q 2313 4219 1838 4219 \n",
       "Q 1578 4219 1281 4162 \n",
       "Q 984 4106 628 3988 \n",
       "L 628 4550 \n",
       "Q 988 4650 1302 4700 \n",
       "Q 1616 4750 1894 4750 \n",
       "Q 2613 4750 3031 4423 \n",
       "Q 3450 4097 3450 3541 \n",
       "Q 3450 3153 3228 2886 \n",
       "Q 3006 2619 2597 2516 \n",
       "z\n",
       "\" id=\"DejaVuSans-33\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#DejaVuSans-2212\"/>\n",
       "       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-33\"/>\n",
       "       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_4\">\n",
       "     <g id=\"line2d_21\">\n",
       "      <path clip-path=\"url(#pe67ba8d3f0)\" d=\"M 49.604688 99.369229 \n",
       "L 607.604687 99.369229 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_22\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"49.604688\" xlink:href=\"#meca3a0c644\" y=\"99.369229\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_12\">\n",
       "      <!-- −20 -->\n",
       "      <g transform=\"translate(21.5 103.168448)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-2212\"/>\n",
       "       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_5\">\n",
       "     <g id=\"line2d_23\">\n",
       "      <path clip-path=\"url(#pe67ba8d3f0)\" d=\"M 49.604688 76.638376 \n",
       "L 607.604687 76.638376 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_24\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"49.604688\" xlink:href=\"#meca3a0c644\" y=\"76.638376\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_13\">\n",
       "      <!-- −10 -->\n",
       "      <g transform=\"translate(21.5 80.437595)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-2212\"/>\n",
       "       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-31\"/>\n",
       "       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_6\">\n",
       "     <g id=\"line2d_25\">\n",
       "      <path clip-path=\"url(#pe67ba8d3f0)\" d=\"M 49.604688 53.907523 \n",
       "L 607.604687 53.907523 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_26\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"49.604688\" xlink:href=\"#meca3a0c644\" y=\"53.907523\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_14\">\n",
       "      <!-- 0 -->\n",
       "      <g transform=\"translate(36.242188 57.706742)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_7\">\n",
       "     <g id=\"line2d_27\">\n",
       "      <path clip-path=\"url(#pe67ba8d3f0)\" d=\"M 49.604688 31.176669 \n",
       "L 607.604687 31.176669 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_28\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"49.604688\" xlink:href=\"#meca3a0c644\" y=\"31.176669\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_15\">\n",
       "      <!-- 10 -->\n",
       "      <g transform=\"translate(29.879688 34.975888)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-31\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_16\">\n",
       "     <!-- $|y_Q[k]|$ in dB -->\n",
       "     <g transform=\"translate(14.9 135.878125)rotate(-90)scale(0.1 -0.1)\">\n",
       "      <defs>\n",
       "       <path d=\"M 1344 4891 \n",
       "L 1344 -1509 \n",
       "L 813 -1509 \n",
       "L 813 4891 \n",
       "L 1344 4891 \n",
       "z\n",
       "\" id=\"DejaVuSans-7c\" transform=\"scale(0.015625)\"/>\n",
       "       <path d=\"M 1588 -325 \n",
       "Q 1188 -997 936 -1164 \n",
       "Q 684 -1331 294 -1331 \n",
       "L -159 -1331 \n",
       "L -63 -850 \n",
       "L 269 -850 \n",
       "Q 509 -850 678 -719 \n",
       "Q 847 -588 1056 -206 \n",
       "L 1234 128 \n",
       "L 459 3500 \n",
       "L 1069 3500 \n",
       "L 1650 819 \n",
       "L 3256 3500 \n",
       "L 3859 3500 \n",
       "L 1588 -325 \n",
       "z\n",
       "\" id=\"DejaVuSans-Oblique-79\" transform=\"scale(0.015625)\"/>\n",
       "       <path d=\"M 2309 -84 \n",
       "Q 2275 -88 2237 -89 \n",
       "Q 2200 -91 2125 -91 \n",
       "Q 1250 -91 756 411 \n",
       "Q 263 913 263 1797 \n",
       "Q 263 2319 452 2844 \n",
       "Q 641 3369 978 3788 \n",
       "Q 1369 4269 1858 4509 \n",
       "Q 2347 4750 2938 4750 \n",
       "Q 3794 4750 4287 4245 \n",
       "Q 4781 3741 4781 2869 \n",
       "Q 4781 1928 4265 1147 \n",
       "Q 3750 366 2919 44 \n",
       "L 3553 -825 \n",
       "L 2847 -825 \n",
       "L 2309 -84 \n",
       "z\n",
       "M 2919 4238 \n",
       "Q 2400 4238 2003 3986 \n",
       "Q 1606 3734 1313 3219 \n",
       "Q 1125 2891 1026 2522 \n",
       "Q 928 2153 928 1778 \n",
       "Q 928 1128 1239 775 \n",
       "Q 1550 422 2119 422 \n",
       "Q 2631 422 3032 676 \n",
       "Q 3434 931 3719 1434 \n",
       "Q 3909 1772 4009 2142 \n",
       "Q 4109 2513 4109 2881 \n",
       "Q 4109 3528 3796 3883 \n",
       "Q 3484 4238 2919 4238 \n",
       "z\n",
       "\" id=\"DejaVuSans-Oblique-51\" transform=\"scale(0.015625)\"/>\n",
       "       <path d=\"M 550 4863 \n",
       "L 1875 4863 \n",
       "L 1875 4416 \n",
       "L 1125 4416 \n",
       "L 1125 -397 \n",
       "L 1875 -397 \n",
       "L 1875 -844 \n",
       "L 550 -844 \n",
       "L 550 4863 \n",
       "z\n",
       "\" id=\"DejaVuSans-5b\" transform=\"scale(0.015625)\"/>\n",
       "       <path d=\"M 1947 4863 \n",
       "L 1947 -844 \n",
       "L 622 -844 \n",
       "L 622 -397 \n",
       "L 1369 -397 \n",
       "L 1369 4416 \n",
       "L 622 4416 \n",
       "L 622 4863 \n",
       "L 1947 4863 \n",
       "z\n",
       "\" id=\"DejaVuSans-5d\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"DejaVuSans-20\" transform=\"scale(0.015625)\"/>\n",
       "       <path d=\"M 603 3500 \n",
       "L 1178 3500 \n",
       "L 1178 0 \n",
       "L 603 0 \n",
       "L 603 3500 \n",
       "z\n",
       "M 603 4863 \n",
       "L 1178 4863 \n",
       "L 1178 4134 \n",
       "L 603 4134 \n",
       "L 603 4863 \n",
       "z\n",
       "\" id=\"DejaVuSans-69\" transform=\"scale(0.015625)\"/>\n",
       "       <path d=\"M 3513 2113 \n",
       "L 3513 0 \n",
       "L 2938 0 \n",
       "L 2938 2094 \n",
       "Q 2938 2591 2744 2837 \n",
       "Q 2550 3084 2163 3084 \n",
       "Q 1697 3084 1428 2787 \n",
       "Q 1159 2491 1159 1978 \n",
       "L 1159 0 \n",
       "L 581 0 \n",
       "L 581 3500 \n",
       "L 1159 3500 \n",
       "L 1159 2956 \n",
       "Q 1366 3272 1645 3428 \n",
       "Q 1925 3584 2291 3584 \n",
       "Q 2894 3584 3203 3211 \n",
       "Q 3513 2838 3513 2113 \n",
       "z\n",
       "\" id=\"DejaVuSans-6e\" transform=\"scale(0.015625)\"/>\n",
       "       <path d=\"M 2906 2969 \n",
       "L 2906 4863 \n",
       "L 3481 4863 \n",
       "L 3481 0 \n",
       "L 2906 0 \n",
       "L 2906 525 \n",
       "Q 2725 213 2448 61 \n",
       "Q 2172 -91 1784 -91 \n",
       "Q 1150 -91 751 415 \n",
       "Q 353 922 353 1747 \n",
       "Q 353 2572 751 3078 \n",
       "Q 1150 3584 1784 3584 \n",
       "Q 2172 3584 2448 3432 \n",
       "Q 2725 3281 2906 2969 \n",
       "z\n",
       "M 947 1747 \n",
       "Q 947 1113 1208 752 \n",
       "Q 1469 391 1925 391 \n",
       "Q 2381 391 2643 752 \n",
       "Q 2906 1113 2906 1747 \n",
       "Q 2906 2381 2643 2742 \n",
       "Q 2381 3103 1925 3103 \n",
       "Q 1469 3103 1208 2742 \n",
       "Q 947 2381 947 1747 \n",
       "z\n",
       "\" id=\"DejaVuSans-64\" transform=\"scale(0.015625)\"/>\n",
       "       <path d=\"M 1259 2228 \n",
       "L 1259 519 \n",
       "L 2272 519 \n",
       "Q 2781 519 3026 730 \n",
       "Q 3272 941 3272 1375 \n",
       "Q 3272 1813 3026 2020 \n",
       "Q 2781 2228 2272 2228 \n",
       "L 1259 2228 \n",
       "z\n",
       "M 1259 4147 \n",
       "L 1259 2741 \n",
       "L 2194 2741 \n",
       "Q 2656 2741 2882 2914 \n",
       "Q 3109 3088 3109 3444 \n",
       "Q 3109 3797 2882 3972 \n",
       "Q 2656 4147 2194 4147 \n",
       "L 1259 4147 \n",
       "z\n",
       "M 628 4666 \n",
       "L 2241 4666 \n",
       "Q 2963 4666 3353 4366 \n",
       "Q 3744 4066 3744 3513 \n",
       "Q 3744 3084 3544 2831 \n",
       "Q 3344 2578 2956 2516 \n",
       "Q 3422 2416 3680 2098 \n",
       "Q 3938 1781 3938 1306 \n",
       "Q 3938 681 3513 340 \n",
       "Q 3088 0 2303 0 \n",
       "L 628 0 \n",
       "L 628 4666 \n",
       "z\n",
       "\" id=\"DejaVuSans-42\" transform=\"scale(0.015625)\"/>\n",
       "      </defs>\n",
       "      <use transform=\"translate(0 0.578125)\" xlink:href=\"#DejaVuSans-7c\"/>\n",
       "      <use transform=\"translate(33.691406 0.578125)\" xlink:href=\"#DejaVuSans-Oblique-79\"/>\n",
       "      <use transform=\"translate(92.871094 -15.828125)scale(0.7)\" xlink:href=\"#DejaVuSans-Oblique-51\"/>\n",
       "      <use transform=\"translate(150.703125 0.578125)\" xlink:href=\"#DejaVuSans-5b\"/>\n",
       "      <use transform=\"translate(189.716797 0.578125)\" xlink:href=\"#DejaVuSans-Oblique-6b\"/>\n",
       "      <use transform=\"translate(247.626953 0.578125)\" xlink:href=\"#DejaVuSans-5d\"/>\n",
       "      <use transform=\"translate(286.640625 0.578125)\" xlink:href=\"#DejaVuSans-7c\"/>\n",
       "      <use transform=\"translate(320.332031 0.578125)\" xlink:href=\"#DejaVuSans-20\"/>\n",
       "      <use transform=\"translate(352.119141 0.578125)\" xlink:href=\"#DejaVuSans-69\"/>\n",
       "      <use transform=\"translate(379.902344 0.578125)\" xlink:href=\"#DejaVuSans-6e\"/>\n",
       "      <use transform=\"translate(443.28125 0.578125)\" xlink:href=\"#DejaVuSans-20\"/>\n",
       "      <use transform=\"translate(475.068359 0.578125)\" xlink:href=\"#DejaVuSans-64\"/>\n",
       "      <use transform=\"translate(538.544922 0.578125)\" xlink:href=\"#DejaVuSans-42\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_29\">\n",
       "    <path clip-path=\"url(#pe67ba8d3f0)\" d=\"M 74.968324 82.38743 \n",
       "L 75.364941 63.037805 \n",
       "L 75.761557 58.245959 \n",
       "L 76.158174 62.275695 \n",
       "L 76.554791 67.555736 \n",
       "L 76.951407 95.68947 \n",
       "L 77.348024 65.338173 \n",
       "L 77.744641 118.71726 \n",
       "L 78.141257 47.061453 \n",
       "L 78.537874 63.772775 \n",
       "L 78.934491 51.753073 \n",
       "L 79.331107 50.984031 \n",
       "L 79.727724 58.721991 \n",
       "L 80.124341 40.576258 \n",
       "L 80.520957 39.920155 \n",
       "L 80.917574 55.805161 \n",
       "L 81.710807 42.460842 \n",
       "L 82.107424 80.939051 \n",
       "L 82.504041 52.421579 \n",
       "L 82.900657 56.86152 \n",
       "L 83.297274 73.672428 \n",
       "L 83.693891 50.724509 \n",
       "L 84.090507 52.329564 \n",
       "L 84.487124 68.653312 \n",
       "L 84.883741 41.103006 \n",
       "L 85.280357 41.757095 \n",
       "L 85.676974 90.698659 \n",
       "L 86.073591 51.359032 \n",
       "L 86.470207 52.26794 \n",
       "L 87.263441 65.724545 \n",
       "L 87.660057 68.642977 \n",
       "L 88.453291 60.606447 \n",
       "L 88.849907 59.888014 \n",
       "L 89.246524 77.790027 \n",
       "L 89.643141 126.614459 \n",
       "L 90.039758 60.97617 \n",
       "L 90.436374 84.298201 \n",
       "L 91.229608 43.833794 \n",
       "L 91.626224 44.225606 \n",
       "L 92.022841 85.420345 \n",
       "L 92.419458 71.897767 \n",
       "L 92.816074 71.846588 \n",
       "L 93.212691 77.289755 \n",
       "L 93.609308 68.410965 \n",
       "L 94.005924 52.905698 \n",
       "L 94.402541 47.567643 \n",
       "L 94.799158 86.949009 \n",
       "L 95.195774 69.648546 \n",
       "L 95.592391 128.943784 \n",
       "L 95.989008 64.462272 \n",
       "L 96.385624 82.901056 \n",
       "L 96.782241 56.72682 \n",
       "L 97.178858 67.53947 \n",
       "L 97.575474 103.240436 \n",
       "L 97.972091 69.287114 \n",
       "L 98.368708 101.608366 \n",
       "L 98.765324 71.200564 \n",
       "L 99.161941 75.612012 \n",
       "L 99.558558 75.385373 \n",
       "L 100.351791 42.906777 \n",
       "L 100.748408 57.918564 \n",
       "L 101.145024 57.543174 \n",
       "L 101.541641 65.081321 \n",
       "L 101.938258 102.942133 \n",
       "L 102.334874 56.899961 \n",
       "L 103.128108 71.264581 \n",
       "L 103.921341 53.756241 \n",
       "L 104.317958 123.377463 \n",
       "L 104.714574 47.747656 \n",
       "L 105.111191 44.635966 \n",
       "L 105.507808 69.342841 \n",
       "L 105.904425 58.945254 \n",
       "L 106.301041 124.354929 \n",
       "L 106.697658 91.855982 \n",
       "L 107.094275 73.573741 \n",
       "L 107.490891 64.61569 \n",
       "L 107.887508 81.915162 \n",
       "L 108.284125 50.790117 \n",
       "L 108.680741 39.606166 \n",
       "L 109.077358 78.317383 \n",
       "L 109.473975 45.278081 \n",
       "L 109.870591 45.276911 \n",
       "L 110.267208 74.217799 \n",
       "L 110.663825 40.278207 \n",
       "L 111.060441 48.756337 \n",
       "L 111.457058 50.913764 \n",
       "L 111.853675 44.463131 \n",
       "L 112.250291 57.785514 \n",
       "L 112.646908 51.814854 \n",
       "L 113.043525 57.59104 \n",
       "L 113.440141 70.837642 \n",
       "L 113.836758 44.555461 \n",
       "L 114.233375 50.211164 \n",
       "L 114.629991 69.604731 \n",
       "L 115.026608 58.375357 \n",
       "L 115.423225 100.260867 \n",
       "L 115.819841 51.033631 \n",
       "L 116.216458 74.397185 \n",
       "L 116.613075 120.954107 \n",
       "L 117.009691 50.606739 \n",
       "L 117.406308 41.846921 \n",
       "L 117.802925 82.341698 \n",
       "L 118.199541 40.029893 \n",
       "L 118.596158 44.005157 \n",
       "L 118.992775 143.980013 \n",
       "L 119.389391 47.751047 \n",
       "L 119.786008 42.224942 \n",
       "L 120.182625 47.935863 \n",
       "L 120.579241 79.753915 \n",
       "L 120.975858 42.748675 \n",
       "L 121.372475 51.446961 \n",
       "L 121.769092 121.730572 \n",
       "L 122.165708 56.359732 \n",
       "L 122.562325 60.386426 \n",
       "L 122.958942 53.495433 \n",
       "L 123.355558 42.726316 \n",
       "L 123.752175 48.328044 \n",
       "L 124.148792 59.183934 \n",
       "L 124.545408 41.778328 \n",
       "L 124.942025 71.133003 \n",
       "L 125.338642 52.022519 \n",
       "L 125.735258 49.978318 \n",
       "L 126.131875 96.720084 \n",
       "L 126.528492 44.529036 \n",
       "L 126.925108 45.126002 \n",
       "L 127.321725 85.186165 \n",
       "L 127.718342 41.504521 \n",
       "L 128.114958 42.841797 \n",
       "L 128.511575 60.579905 \n",
       "L 128.908192 52.26221 \n",
       "L 129.304808 38.731059 \n",
       "L 129.701425 81.691454 \n",
       "L 130.098042 57.837888 \n",
       "L 130.494658 56.338484 \n",
       "L 130.891275 92.920903 \n",
       "L 131.287892 42.044685 \n",
       "L 131.684508 52.753124 \n",
       "L 132.081125 59.137413 \n",
       "L 132.477742 57.374509 \n",
       "L 132.874358 67.519272 \n",
       "L 133.270975 59.441622 \n",
       "L 133.667592 83.936073 \n",
       "L 134.064208 77.657396 \n",
       "L 134.460825 61.357604 \n",
       "L 134.857442 53.47858 \n",
       "L 135.254058 64.384148 \n",
       "L 135.650675 62.652271 \n",
       "L 136.047292 63.682327 \n",
       "L 136.443908 46.942586 \n",
       "L 136.840525 84.933214 \n",
       "L 137.237142 37.358066 \n",
       "L 137.633759 41.439171 \n",
       "L 138.030375 68.539655 \n",
       "L 138.426992 47.829622 \n",
       "L 138.823609 70.637177 \n",
       "L 139.220225 47.713587 \n",
       "L 139.616842 48.272911 \n",
       "L 140.013459 68.816667 \n",
       "L 140.410075 65.557622 \n",
       "L 140.806692 51.542873 \n",
       "L 141.203309 53.741527 \n",
       "L 141.599925 71.069551 \n",
       "L 141.996542 74.867988 \n",
       "L 142.393159 73.048028 \n",
       "L 142.789775 116.346562 \n",
       "L 143.186392 62.741205 \n",
       "L 143.583009 79.194816 \n",
       "L 143.979625 49.032125 \n",
       "L 144.376242 77.745673 \n",
       "L 144.772859 46.353488 \n",
       "L 145.169475 35.426855 \n",
       "L 145.566092 76.588383 \n",
       "L 145.962709 35.902839 \n",
       "L 146.359325 36.577141 \n",
       "L 146.755942 70.317464 \n",
       "L 147.152559 47.445766 \n",
       "L 147.549175 47.43662 \n",
       "L 147.945792 72.043684 \n",
       "L 148.342409 47.164449 \n",
       "L 148.739025 49.758373 \n",
       "L 149.135642 65.117587 \n",
       "L 149.532259 37.441339 \n",
       "L 149.928875 39.64582 \n",
       "L 150.325492 73.523111 \n",
       "L 150.722109 41.015309 \n",
       "L 151.118725 49.702862 \n",
       "L 151.515342 123.935078 \n",
       "L 151.911959 56.220475 \n",
       "L 152.308575 101.869931 \n",
       "L 152.705192 68.033636 \n",
       "L 153.101809 49.617735 \n",
       "L 153.498426 50.557404 \n",
       "L 153.895042 62.8728 \n",
       "L 154.688276 35.71622 \n",
       "L 155.084892 55.159467 \n",
       "L 155.481509 51.852673 \n",
       "L 155.878126 45.495893 \n",
       "L 156.274742 73.196376 \n",
       "L 156.671359 36.465585 \n",
       "L 157.067976 33.229747 \n",
       "L 157.464592 116.605124 \n",
       "L 157.861209 41.537262 \n",
       "L 158.257826 36.457635 \n",
       "L 158.654442 76.47547 \n",
       "L 159.051059 45.307111 \n",
       "L 159.447676 45.378013 \n",
       "L 159.844292 59.433288 \n",
       "L 160.240909 33.595938 \n",
       "L 160.637526 38.00275 \n",
       "L 161.034142 60.821568 \n",
       "L 161.430759 31.956438 \n",
       "L 161.827376 33.37419 \n",
       "L 162.223992 74.951232 \n",
       "L 162.620609 36.372568 \n",
       "L 163.017226 36.394453 \n",
       "L 163.413842 86.00288 \n",
       "L 163.810459 40.860436 \n",
       "L 164.207076 50.63466 \n",
       "L 164.603692 50.875861 \n",
       "L 165.000309 32.830919 \n",
       "L 165.396926 34.635996 \n",
       "L 165.793542 67.051159 \n",
       "L 166.190159 35.383899 \n",
       "L 166.586776 29.878125 \n",
       "L 166.983392 84.317796 \n",
       "L 167.380009 42.68452 \n",
       "L 167.776626 53.385811 \n",
       "L 168.173242 55.42891 \n",
       "L 168.569859 48.004305 \n",
       "L 169.363093 84.288737 \n",
       "L 169.759709 93.80305 \n",
       "L 170.156326 93.528102 \n",
       "L 170.552943 89.331526 \n",
       "L 170.949559 75.367252 \n",
       "L 171.346176 69.511039 \n",
       "L 171.742793 181.078125 \n",
       "L 172.139409 54.820753 \n",
       "L 172.536026 60.425764 \n",
       "L 172.932643 61.291917 \n",
       "L 173.329259 60.488123 \n",
       "L 173.725876 46.604521 \n",
       "L 174.122493 49.594158 \n",
       "L 174.519109 135.151826 \n",
       "L 174.915726 53.971126 \n",
       "L 175.312343 51.681818 \n",
       "L 175.708959 113.888571 \n",
       "L 176.105576 47.994299 \n",
       "L 176.502193 50.776062 \n",
       "L 176.898809 117.928515 \n",
       "L 177.295426 54.062377 \n",
       "L 177.692043 56.899689 \n",
       "L 178.088659 122.33421 \n",
       "L 178.485276 60.21429 \n",
       "L 178.881893 62.941898 \n",
       "L 179.278509 136.019547 \n",
       "L 179.675126 66.395902 \n",
       "L 180.071743 69.19893 \n",
       "L 180.468359 136.019547 \n",
       "L 180.864976 72.466808 \n",
       "L 181.261593 75.444621 \n",
       "L 181.658209 136.019547 \n",
       "L 182.054826 78.411758 \n",
       "L 182.451443 81.905036 \n",
       "L 182.848059 136.019547 \n",
       "L 183.244676 84.632645 \n",
       "L 183.641293 88.676058 \n",
       "L 184.037909 136.019547 \n",
       "L 184.434526 90.55784 \n",
       "L 184.831143 94.963535 \n",
       "L 185.22776 136.019547 \n",
       "L 185.624376 96.237769 \n",
       "L 186.020993 100.643463 \n",
       "L 186.41761 149.704884 \n",
       "L 186.814226 102.361396 \n",
       "L 187.210843 106.323391 \n",
       "L 187.60746 149.704884 \n",
       "L 188.004076 108.648872 \n",
       "L 188.400693 114.3288 \n",
       "L 188.79731 149.704884 \n",
       "L 189.193926 114.3288 \n",
       "L 189.590543 122.33421 \n",
       "L 189.98716 149.704884 \n",
       "L 190.383776 122.33421 \n",
       "L 190.780393 128.014138 \n",
       "M 191.573626 136.019547 \n",
       "L 191.970243 136.019547 \n",
       "M 192.763476 136.019547 \n",
       "L 193.160093 136.019547 \n",
       "M 193.953326 136.019547 \n",
       "L 194.349943 136.019547 \n",
       "M 195.143176 136.019547 \n",
       "L 195.539793 136.019547 \n",
       "M 196.333026 136.019547 \n",
       "L 196.729643 136.019547 \n",
       "M 197.522876 136.019547 \n",
       "L 197.919493 136.019547 \n",
       "M 198.712726 136.019547 \n",
       "L 199.109343 136.019547 \n",
       "M 199.902576 136.019547 \n",
       "L 200.299193 136.019547 \n",
       "M 201.092427 136.019547 \n",
       "L 201.489043 136.019547 \n",
       "M 202.282277 136.019547 \n",
       "L 202.678893 136.019547 \n",
       "M 203.472127 136.019547 \n",
       "L 203.868743 136.019547 \n",
       "M 204.661977 136.019547 \n",
       "L 205.058593 136.019547 \n",
       "M 205.851827 136.019547 \n",
       "L 206.248443 136.019547 \n",
       "M 207.041677 136.019547 \n",
       "L 207.438293 136.019547 \n",
       "M 208.231527 136.019547 \n",
       "L 208.628143 136.019547 \n",
       "M 209.421377 136.019547 \n",
       "L 209.817993 136.019547 \n",
       "M 210.611227 136.019547 \n",
       "L 211.007843 136.019547 \n",
       "M 211.801077 136.019547 \n",
       "L 212.197693 136.019547 \n",
       "M 212.990927 136.019547 \n",
       "L 213.387543 136.019547 \n",
       "M 214.180777 136.019547 \n",
       "L 214.577393 136.019547 \n",
       "M 215.370627 136.019547 \n",
       "L 215.767243 136.019547 \n",
       "M 216.560477 136.019547 \n",
       "L 216.957093 136.019547 \n",
       "M 217.750327 136.019547 \n",
       "L 218.146944 136.019547 \n",
       "M 218.940177 136.019547 \n",
       "L 219.336794 136.019547 \n",
       "M 220.130027 136.019547 \n",
       "L 220.526644 136.019547 \n",
       "M 221.319877 136.019547 \n",
       "L 221.716494 136.019547 \n",
       "M 222.509727 136.019547 \n",
       "L 222.906344 136.019547 \n",
       "M 223.699577 136.019547 \n",
       "L 224.096194 136.019547 \n",
       "M 224.889427 136.019547 \n",
       "L 225.286044 136.019547 \n",
       "M 226.079277 136.019547 \n",
       "L 226.475894 136.019547 \n",
       "M 227.269127 136.019547 \n",
       "L 227.665744 136.019547 \n",
       "M 228.458977 136.019547 \n",
       "L 228.855594 136.019547 \n",
       "M 229.648827 136.019547 \n",
       "L 230.045444 136.019547 \n",
       "M 230.838677 136.019547 \n",
       "L 231.235294 136.019547 \n",
       "M 232.028527 136.019547 \n",
       "L 232.425144 136.019547 \n",
       "M 233.218377 136.019547 \n",
       "L 233.614994 136.019547 \n",
       "M 234.408227 136.019547 \n",
       "L 234.804844 136.019547 \n",
       "M 235.598077 136.019547 \n",
       "L 235.994694 136.019547 \n",
       "M 236.787927 136.019547 \n",
       "L 237.184544 136.019547 \n",
       "M 237.977777 136.019547 \n",
       "L 238.374394 136.019547 \n",
       "M 239.167627 136.019547 \n",
       "L 239.564244 136.019547 \n",
       "M 240.357477 136.019547 \n",
       "L 240.754094 136.019547 \n",
       "M 241.547327 136.019547 \n",
       "L 241.943944 136.019547 \n",
       "M 242.737177 136.019547 \n",
       "L 243.133794 136.019547 \n",
       "M 243.927027 136.019547 \n",
       "L 244.323644 136.019547 \n",
       "M 245.116877 136.019547 \n",
       "L 245.513494 136.019547 \n",
       "M 246.306727 136.019547 \n",
       "L 246.703344 136.019547 \n",
       "M 247.496577 136.019547 \n",
       "L 247.893194 136.019547 \n",
       "M 248.686427 136.019547 \n",
       "L 249.083044 136.019547 \n",
       "M 249.876278 136.019547 \n",
       "L 250.272894 136.019547 \n",
       "M 251.066128 136.019547 \n",
       "L 251.462744 136.019547 \n",
       "M 252.255978 136.019547 \n",
       "L 252.652594 136.019547 \n",
       "M 253.445828 136.019547 \n",
       "L 253.842444 136.019547 \n",
       "M 254.635678 136.019547 \n",
       "L 255.032294 136.019547 \n",
       "M 255.825528 136.019547 \n",
       "L 256.222144 136.019547 \n",
       "M 257.015378 136.019547 \n",
       "L 257.411994 136.019547 \n",
       "M 258.205228 136.019547 \n",
       "L 258.601844 136.019547 \n",
       "M 259.395078 136.019547 \n",
       "L 259.791694 136.019547 \n",
       "M 260.584928 136.019547 \n",
       "L 260.981544 136.019547 \n",
       "M 261.774778 136.019547 \n",
       "L 262.171394 136.019547 \n",
       "M 262.964628 136.019547 \n",
       "L 263.361244 136.019547 \n",
       "M 264.154478 136.019547 \n",
       "L 264.551094 136.019547 \n",
       "M 265.344328 136.019547 \n",
       "L 265.740945 136.019547 \n",
       "M 266.534178 136.019547 \n",
       "L 266.930795 136.019547 \n",
       "M 267.724028 136.019547 \n",
       "L 268.120645 136.019547 \n",
       "M 268.913878 136.019547 \n",
       "L 269.310495 136.019547 \n",
       "M 270.103728 136.019547 \n",
       "L 270.500345 136.019547 \n",
       "M 271.293578 136.019547 \n",
       "L 271.690195 136.019547 \n",
       "M 272.483428 136.019547 \n",
       "L 272.880045 136.019547 \n",
       "M 273.673278 136.019547 \n",
       "L 274.069895 136.019547 \n",
       "M 274.863128 136.019547 \n",
       "L 275.259745 136.019547 \n",
       "M 276.052978 136.019547 \n",
       "L 276.449595 136.019547 \n",
       "M 277.242828 136.019547 \n",
       "L 277.639445 136.019547 \n",
       "M 278.432678 136.019547 \n",
       "L 278.829295 136.019547 \n",
       "M 279.622528 136.019547 \n",
       "L 280.019145 136.019547 \n",
       "M 280.812378 136.019547 \n",
       "L 281.208995 136.019547 \n",
       "M 282.002228 136.019547 \n",
       "L 282.398845 136.019547 \n",
       "M 283.192078 136.019547 \n",
       "L 283.588695 136.019547 \n",
       "M 284.381928 136.019547 \n",
       "L 284.778545 136.019547 \n",
       "M 285.571778 136.019547 \n",
       "L 285.968395 136.019547 \n",
       "M 286.761628 136.019547 \n",
       "L 287.158245 136.019547 \n",
       "M 287.951478 136.019547 \n",
       "L 288.348095 136.019547 \n",
       "M 289.141328 136.019547 \n",
       "L 289.537945 136.019547 \n",
       "M 290.331178 136.019547 \n",
       "L 290.727795 136.019547 \n",
       "M 291.521028 136.019547 \n",
       "L 291.917645 136.019547 \n",
       "M 292.710878 136.019547 \n",
       "L 293.107495 136.019547 \n",
       "M 293.900728 136.019547 \n",
       "L 294.297345 136.019547 \n",
       "M 295.090578 136.019547 \n",
       "L 295.487195 136.019547 \n",
       "M 296.280428 136.019547 \n",
       "L 296.677045 136.019547 \n",
       "M 297.470279 136.019547 \n",
       "L 297.866895 136.019547 \n",
       "M 298.660129 136.019547 \n",
       "L 299.056745 136.019547 \n",
       "M 299.849979 136.019547 \n",
       "L 300.246595 136.019547 \n",
       "M 301.039829 136.019547 \n",
       "L 301.436445 136.019547 \n",
       "M 302.229679 136.019547 \n",
       "L 302.626295 136.019547 \n",
       "M 303.419529 136.019547 \n",
       "L 303.816145 136.019547 \n",
       "M 304.609379 136.019547 \n",
       "L 305.005995 136.019547 \n",
       "M 305.799229 136.019547 \n",
       "L 306.195845 136.019547 \n",
       "M 306.989079 136.019547 \n",
       "L 307.385695 136.019547 \n",
       "M 308.178929 136.019547 \n",
       "L 308.575545 136.019547 \n",
       "M 309.368779 136.019547 \n",
       "L 309.765395 136.019547 \n",
       "M 310.558629 136.019547 \n",
       "L 310.955245 136.019547 \n",
       "M 311.748479 136.019547 \n",
       "L 312.145095 136.019547 \n",
       "M 312.938329 136.019547 \n",
       "L 313.334946 136.019547 \n",
       "M 314.128179 136.019547 \n",
       "L 314.524796 136.019547 \n",
       "M 315.318029 136.019547 \n",
       "L 315.714646 136.019547 \n",
       "M 316.507879 136.019547 \n",
       "L 316.904496 136.019547 \n",
       "M 317.697729 136.019547 \n",
       "L 318.094346 136.019547 \n",
       "M 318.887579 136.019547 \n",
       "L 319.284196 136.019547 \n",
       "M 320.077429 136.019547 \n",
       "L 320.474046 136.019547 \n",
       "M 321.267279 136.019547 \n",
       "L 321.663896 136.019547 \n",
       "M 322.457129 136.019547 \n",
       "L 322.853746 136.019547 \n",
       "M 323.646979 136.019547 \n",
       "L 324.043596 136.019547 \n",
       "M 324.836829 136.019547 \n",
       "L 325.233446 136.019547 \n",
       "M 326.026679 136.019547 \n",
       "L 326.423296 136.019547 \n",
       "M 327.216529 136.019547 \n",
       "L 327.613146 136.019547 \n",
       "M 328.406379 136.019547 \n",
       "L 328.802996 136.019547 \n",
       "M 329.596229 136.019547 \n",
       "L 329.992846 136.019547 \n",
       "M 330.786079 136.019547 \n",
       "L 331.182696 136.019547 \n",
       "M 331.975929 136.019547 \n",
       "L 332.372546 136.019547 \n",
       "M 333.165779 136.019547 \n",
       "L 333.562396 136.019547 \n",
       "M 334.355629 136.019547 \n",
       "L 334.752246 136.019547 \n",
       "M 335.545479 136.019547 \n",
       "L 335.942096 136.019547 \n",
       "M 336.735329 136.019547 \n",
       "L 337.131946 136.019547 \n",
       "M 337.925179 136.019547 \n",
       "L 338.321796 136.019547 \n",
       "M 339.115029 136.019547 \n",
       "L 339.511646 136.019547 \n",
       "M 340.304879 136.019547 \n",
       "L 340.701496 136.019547 \n",
       "M 341.494729 136.019547 \n",
       "L 341.891346 136.019547 \n",
       "M 342.684579 136.019547 \n",
       "L 343.081196 136.019547 \n",
       "M 343.874429 136.019547 \n",
       "L 344.271046 136.019547 \n",
       "M 345.06428 136.019547 \n",
       "L 345.460896 136.019547 \n",
       "M 346.25413 136.019547 \n",
       "L 346.650746 136.019547 \n",
       "M 347.44398 136.019547 \n",
       "L 347.840596 136.019547 \n",
       "M 348.63383 136.019547 \n",
       "L 349.030446 136.019547 \n",
       "M 349.82368 136.019547 \n",
       "L 350.220296 136.019547 \n",
       "M 351.01353 136.019547 \n",
       "L 351.410146 136.019547 \n",
       "M 352.20338 136.019547 \n",
       "L 352.599996 136.019547 \n",
       "M 353.39323 136.019547 \n",
       "L 353.789846 136.019547 \n",
       "M 354.58308 136.019547 \n",
       "L 354.979696 136.019547 \n",
       "M 355.77293 136.019547 \n",
       "L 356.169546 136.019547 \n",
       "M 356.96278 136.019547 \n",
       "L 357.359396 136.019547 \n",
       "M 358.15263 136.019547 \n",
       "L 358.549246 136.019547 \n",
       "M 359.34248 136.019547 \n",
       "L 359.739096 136.019547 \n",
       "M 360.53233 136.019547 \n",
       "L 360.928947 136.019547 \n",
       "M 361.72218 136.019547 \n",
       "L 362.118797 136.019547 \n",
       "M 362.91203 136.019547 \n",
       "L 363.308647 136.019547 \n",
       "M 364.10188 136.019547 \n",
       "L 364.498497 136.019547 \n",
       "M 365.29173 136.019547 \n",
       "L 365.688347 136.019547 \n",
       "M 366.48158 136.019547 \n",
       "L 366.878197 136.019547 \n",
       "M 367.67143 136.019547 \n",
       "L 368.068047 136.019547 \n",
       "M 368.86128 136.019547 \n",
       "L 369.257897 136.019547 \n",
       "M 370.05113 136.019547 \n",
       "L 370.447747 136.019547 \n",
       "M 371.24098 136.019547 \n",
       "L 371.637597 136.019547 \n",
       "M 372.43083 136.019547 \n",
       "L 372.827447 136.019547 \n",
       "M 373.62068 136.019547 \n",
       "L 374.017297 136.019547 \n",
       "M 374.81053 136.019547 \n",
       "L 375.207147 136.019547 \n",
       "M 376.00038 136.019547 \n",
       "L 376.396997 136.019547 \n",
       "M 377.19023 136.019547 \n",
       "L 377.586847 136.019547 \n",
       "M 378.38008 136.019547 \n",
       "L 378.776697 136.019547 \n",
       "M 379.56993 136.019547 \n",
       "L 379.966547 136.019547 \n",
       "M 380.75978 136.019547 \n",
       "L 381.156397 136.019547 \n",
       "M 381.94963 136.019547 \n",
       "L 382.346247 136.019547 \n",
       "M 383.13948 136.019547 \n",
       "L 383.536097 136.019547 \n",
       "M 384.32933 136.019547 \n",
       "L 384.725947 136.019547 \n",
       "M 385.51918 136.019547 \n",
       "L 385.915797 136.019547 \n",
       "M 386.70903 136.019547 \n",
       "L 387.105647 136.019547 \n",
       "M 387.89888 136.019547 \n",
       "L 388.295497 136.019547 \n",
       "M 389.08873 136.019547 \n",
       "L 389.485347 136.019547 \n",
       "M 390.27858 136.019547 \n",
       "L 390.675197 136.019547 \n",
       "M 391.46843 136.019547 \n",
       "L 391.865047 136.019547 \n",
       "M 392.658281 136.019547 \n",
       "L 393.054897 136.019547 \n",
       "M 393.848131 136.019547 \n",
       "L 394.244747 136.019547 \n",
       "M 395.037981 136.019547 \n",
       "L 395.434597 136.019547 \n",
       "M 396.227831 136.019547 \n",
       "L 396.624447 136.019547 \n",
       "M 397.417681 136.019547 \n",
       "L 397.814297 136.019547 \n",
       "M 398.607531 136.019547 \n",
       "L 399.004147 136.019547 \n",
       "M 399.797381 136.019547 \n",
       "L 400.193997 136.019547 \n",
       "M 400.987231 136.019547 \n",
       "L 401.383847 136.019547 \n",
       "M 402.177081 136.019547 \n",
       "L 402.573697 136.019547 \n",
       "M 403.366931 136.019547 \n",
       "L 403.763547 136.019547 \n",
       "M 404.556781 136.019547 \n",
       "L 404.953397 136.019547 \n",
       "M 405.746631 136.019547 \n",
       "L 406.143247 136.019547 \n",
       "M 406.936481 136.019547 \n",
       "L 407.333097 136.019547 \n",
       "M 408.126331 136.019547 \n",
       "L 408.522948 136.019547 \n",
       "M 409.316181 136.019547 \n",
       "L 409.712798 136.019547 \n",
       "M 410.506031 136.019547 \n",
       "L 410.902648 136.019547 \n",
       "M 411.695881 136.019547 \n",
       "L 412.092498 136.019547 \n",
       "M 412.885731 136.019547 \n",
       "L 413.282348 136.019547 \n",
       "M 414.075581 136.019547 \n",
       "L 414.472198 136.019547 \n",
       "M 415.265431 136.019547 \n",
       "L 415.662048 136.019547 \n",
       "M 416.455281 136.019547 \n",
       "L 416.851898 136.019547 \n",
       "M 417.645131 136.019547 \n",
       "L 418.041748 136.019547 \n",
       "M 418.834981 136.019547 \n",
       "L 419.231598 136.019547 \n",
       "M 420.024831 136.019547 \n",
       "L 420.421448 136.019547 \n",
       "M 421.214681 136.019547 \n",
       "L 421.611298 136.019547 \n",
       "M 422.404531 136.019547 \n",
       "L 422.801148 136.019547 \n",
       "M 423.594381 136.019547 \n",
       "L 423.990998 136.019547 \n",
       "M 424.784231 136.019547 \n",
       "L 425.180848 136.019547 \n",
       "M 425.974081 136.019547 \n",
       "L 426.370698 136.019547 \n",
       "M 427.163931 136.019547 \n",
       "L 427.560548 136.019547 \n",
       "M 428.353781 136.019547 \n",
       "L 428.750398 136.019547 \n",
       "M 429.543631 136.019547 \n",
       "L 429.940248 136.019547 \n",
       "M 430.733481 136.019547 \n",
       "L 431.130098 136.019547 \n",
       "M 431.923331 136.019547 \n",
       "L 432.319948 136.019547 \n",
       "M 433.113181 136.019547 \n",
       "L 433.509798 136.019547 \n",
       "M 434.303031 136.019547 \n",
       "L 434.699648 136.019547 \n",
       "M 435.492881 136.019547 \n",
       "L 435.889498 136.019547 \n",
       "M 436.682731 136.019547 \n",
       "L 437.079348 136.019547 \n",
       "M 437.872581 136.019547 \n",
       "L 438.269198 136.019547 \n",
       "M 439.062431 136.019547 \n",
       "L 439.459048 136.019547 \n",
       "M 440.252282 136.019547 \n",
       "L 440.648898 136.019547 \n",
       "M 441.442132 136.019547 \n",
       "L 441.838748 136.019547 \n",
       "M 442.631982 136.019547 \n",
       "L 443.028598 136.019547 \n",
       "M 443.821832 136.019547 \n",
       "L 444.218448 136.019547 \n",
       "M 445.011682 136.019547 \n",
       "L 445.408298 136.019547 \n",
       "M 446.201532 136.019547 \n",
       "L 446.598148 136.019547 \n",
       "M 447.391382 136.019547 \n",
       "L 447.787998 136.019547 \n",
       "M 448.581232 136.019547 \n",
       "L 448.977848 136.019547 \n",
       "M 449.771082 136.019547 \n",
       "L 450.167698 136.019547 \n",
       "M 450.960932 136.019547 \n",
       "L 451.357548 136.019547 \n",
       "M 452.150782 136.019547 \n",
       "L 452.547398 136.019547 \n",
       "M 453.340632 136.019547 \n",
       "L 453.737248 136.019547 \n",
       "M 454.530482 136.019547 \n",
       "L 454.927098 136.019547 \n",
       "M 455.720332 136.019547 \n",
       "L 456.116948 136.019547 \n",
       "M 456.910182 136.019547 \n",
       "L 457.306799 136.019547 \n",
       "M 458.100032 136.019547 \n",
       "L 458.496649 136.019547 \n",
       "M 459.289882 136.019547 \n",
       "L 459.686499 136.019547 \n",
       "M 460.479732 136.019547 \n",
       "L 460.876349 136.019547 \n",
       "M 461.669582 136.019547 \n",
       "L 462.066199 136.019547 \n",
       "M 462.859432 136.019547 \n",
       "L 463.256049 136.019547 \n",
       "M 464.049282 136.019547 \n",
       "L 464.445899 136.019547 \n",
       "M 465.239132 136.019547 \n",
       "L 465.635749 136.019547 \n",
       "M 466.428982 136.019547 \n",
       "L 466.825599 136.019547 \n",
       "M 467.618832 136.019547 \n",
       "L 468.015449 136.019547 \n",
       "M 468.808682 136.019547 \n",
       "L 469.205299 136.019547 \n",
       "M 469.998532 136.019547 \n",
       "L 470.395149 136.019547 \n",
       "M 471.188382 136.019547 \n",
       "L 471.584999 136.019547 \n",
       "M 472.378232 136.019547 \n",
       "L 472.774849 136.019547 \n",
       "M 473.568082 136.019547 \n",
       "L 473.964699 136.019547 \n",
       "M 474.757932 136.019547 \n",
       "L 475.154549 136.019547 \n",
       "M 475.947782 136.019547 \n",
       "L 476.344399 136.019547 \n",
       "M 477.137632 136.019547 \n",
       "L 477.534249 136.019547 \n",
       "M 478.327482 136.019547 \n",
       "L 478.724099 136.019547 \n",
       "M 479.517332 136.019547 \n",
       "L 479.913949 136.019547 \n",
       "M 480.707182 136.019547 \n",
       "L 481.103799 136.019547 \n",
       "M 481.897032 136.019547 \n",
       "L 482.293649 136.019547 \n",
       "M 483.086882 136.019547 \n",
       "L 483.483499 136.019547 \n",
       "M 484.276732 136.019547 \n",
       "L 484.673349 136.019547 \n",
       "M 485.466582 136.019547 \n",
       "L 485.863199 136.019547 \n",
       "M 486.656432 136.019547 \n",
       "L 487.053049 136.019547 \n",
       "M 487.846282 136.019547 \n",
       "L 488.242899 136.019547 \n",
       "M 489.036133 136.019547 \n",
       "L 489.432749 136.019547 \n",
       "M 490.225983 136.019547 \n",
       "L 490.622599 136.019547 \n",
       "M 491.415833 136.019547 \n",
       "L 491.812449 136.019547 \n",
       "M 492.605683 136.019547 \n",
       "L 493.002299 136.019547 \n",
       "M 493.795533 136.019547 \n",
       "L 494.192149 136.019547 \n",
       "M 494.985383 136.019547 \n",
       "L 495.381999 136.019547 \n",
       "M 496.175233 136.019547 \n",
       "L 496.571849 136.019547 \n",
       "M 497.365083 136.019547 \n",
       "L 497.761699 136.019547 \n",
       "M 498.554933 136.019547 \n",
       "L 498.951549 136.019547 \n",
       "M 499.744783 136.019547 \n",
       "L 500.141399 136.019547 \n",
       "M 500.934633 136.019547 \n",
       "L 501.331249 136.019547 \n",
       "M 502.124483 136.019547 \n",
       "L 502.521099 136.019547 \n",
       "M 503.314333 136.019547 \n",
       "L 503.710949 136.019547 \n",
       "M 504.504183 136.019547 \n",
       "L 504.9008 136.019547 \n",
       "M 505.694033 136.019547 \n",
       "L 506.09065 136.019547 \n",
       "M 506.883883 136.019547 \n",
       "L 507.2805 136.019547 \n",
       "M 508.073733 136.019547 \n",
       "L 508.47035 136.019547 \n",
       "M 509.263583 136.019547 \n",
       "L 509.6602 136.019547 \n",
       "M 510.453433 136.019547 \n",
       "L 510.85005 136.019547 \n",
       "M 511.643283 136.019547 \n",
       "L 512.0399 136.019547 \n",
       "M 512.833133 136.019547 \n",
       "L 513.22975 136.019547 \n",
       "M 514.022983 136.019547 \n",
       "L 514.4196 136.019547 \n",
       "M 515.212833 136.019547 \n",
       "L 515.60945 136.019547 \n",
       "M 516.402683 136.019547 \n",
       "L 516.7993 136.019547 \n",
       "M 517.592533 136.019547 \n",
       "L 517.98915 136.019547 \n",
       "M 518.782383 136.019547 \n",
       "L 519.179 136.019547 \n",
       "M 519.972233 136.019547 \n",
       "L 520.36885 136.019547 \n",
       "M 521.162083 136.019547 \n",
       "L 521.5587 136.019547 \n",
       "M 522.351933 136.019547 \n",
       "L 522.74855 136.019547 \n",
       "M 523.541783 136.019547 \n",
       "L 523.9384 136.019547 \n",
       "M 524.731633 136.019547 \n",
       "L 525.12825 136.019547 \n",
       "M 525.921483 136.019547 \n",
       "L 526.3181 136.019547 \n",
       "M 527.111333 136.019547 \n",
       "L 527.50795 136.019547 \n",
       "M 528.301183 136.019547 \n",
       "L 528.6978 136.019547 \n",
       "M 529.491033 136.019547 \n",
       "L 529.88765 136.019547 \n",
       "M 530.680883 136.019547 \n",
       "L 531.0775 136.019547 \n",
       "M 531.870733 136.019547 \n",
       "L 532.26735 136.019547 \n",
       "M 533.060583 136.019547 \n",
       "L 533.4572 136.019547 \n",
       "M 534.250433 136.019547 \n",
       "L 534.64705 136.019547 \n",
       "M 535.440283 136.019547 \n",
       "L 535.8369 136.019547 \n",
       "M 536.630134 136.019547 \n",
       "L 537.02675 136.019547 \n",
       "M 537.819984 136.019547 \n",
       "L 538.2166 136.019547 \n",
       "M 539.009834 136.019547 \n",
       "L 539.40645 136.019547 \n",
       "M 540.199684 136.019547 \n",
       "L 540.5963 136.019547 \n",
       "M 541.389534 136.019547 \n",
       "L 541.78615 136.019547 \n",
       "M 542.579384 136.019547 \n",
       "L 542.976 136.019547 \n",
       "M 543.769234 136.019547 \n",
       "L 544.16585 136.019547 \n",
       "M 544.959084 136.019547 \n",
       "L 545.3557 136.019547 \n",
       "M 546.148934 136.019547 \n",
       "L 546.54555 136.019547 \n",
       "M 547.338784 136.019547 \n",
       "L 547.7354 136.019547 \n",
       "M 548.528634 136.019547 \n",
       "L 548.92525 136.019547 \n",
       "M 549.718484 136.019547 \n",
       "L 550.1151 136.019547 \n",
       "M 550.908334 136.019547 \n",
       "L 551.30495 136.019547 \n",
       "M 552.098184 136.019547 \n",
       "L 552.494801 136.019547 \n",
       "M 553.288034 136.019547 \n",
       "L 553.684651 136.019547 \n",
       "M 554.477884 136.019547 \n",
       "L 554.874501 136.019547 \n",
       "M 555.667734 136.019547 \n",
       "L 556.064351 136.019547 \n",
       "M 556.857584 136.019547 \n",
       "L 557.254201 136.019547 \n",
       "M 558.047434 136.019547 \n",
       "L 558.444051 136.019547 \n",
       "M 559.237284 136.019547 \n",
       "L 559.633901 136.019547 \n",
       "M 560.427134 136.019547 \n",
       "L 560.823751 136.019547 \n",
       "M 561.616984 136.019547 \n",
       "L 562.013601 136.019547 \n",
       "M 562.806834 136.019547 \n",
       "L 563.203451 136.019547 \n",
       "M 563.996684 136.019547 \n",
       "L 564.393301 136.019547 \n",
       "M 565.186534 136.019547 \n",
       "L 565.583151 136.019547 \n",
       "M 566.376384 136.019547 \n",
       "L 566.773001 136.019547 \n",
       "M 567.566234 136.019547 \n",
       "L 567.962851 136.019547 \n",
       "M 568.756084 136.019547 \n",
       "L 569.152701 136.019547 \n",
       "M 569.945934 136.019547 \n",
       "L 570.342551 136.019547 \n",
       "M 571.135784 136.019547 \n",
       "L 571.532401 136.019547 \n",
       "M 572.325634 136.019547 \n",
       "L 572.722251 136.019547 \n",
       "M 573.515484 136.019547 \n",
       "L 573.912101 136.019547 \n",
       "M 574.705334 136.019547 \n",
       "L 575.101951 136.019547 \n",
       "M 575.895184 136.019547 \n",
       "L 576.291801 136.019547 \n",
       "M 577.085034 136.019547 \n",
       "L 577.481651 136.019547 \n",
       "M 578.274884 136.019547 \n",
       "L 578.671501 136.019547 \n",
       "M 579.464734 136.019547 \n",
       "L 579.861351 136.019547 \n",
       "M 580.654584 136.019547 \n",
       "L 581.051201 136.019547 \n",
       "M 581.844434 136.019547 \n",
       "L 582.241051 136.019547 \n",
       "L 582.241051 136.019547 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_3\">\n",
       "    <path d=\"M 49.604688 188.638125 \n",
       "L 49.604688 22.318125 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_4\">\n",
       "    <path d=\"M 607.604687 188.638125 \n",
       "L 607.604687 22.318125 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_5\">\n",
       "    <path d=\"M 49.604688 188.638125 \n",
       "L 607.604687 188.638125 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_6\">\n",
       "    <path d=\"M 49.604688 22.318125 \n",
       "L 607.604687 22.318125 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"text_17\">\n",
       "    <!-- Level of output signal -->\n",
       "    <g transform=\"translate(263.723125 16.318125)scale(0.12 -0.12)\">\n",
       "     <defs>\n",
       "      <path d=\"M 628 4666 \n",
       "L 1259 4666 \n",
       "L 1259 531 \n",
       "L 3531 531 \n",
       "L 3531 0 \n",
       "L 628 0 \n",
       "L 628 4666 \n",
       "z\n",
       "\" id=\"DejaVuSans-4c\" transform=\"scale(0.015625)\"/>\n",
       "      <path d=\"M 3597 1894 \n",
       "L 3597 1613 \n",
       "L 953 1613 \n",
       "Q 991 1019 1311 708 \n",
       "Q 1631 397 2203 397 \n",
       "Q 2534 397 2845 478 \n",
       "Q 3156 559 3463 722 \n",
       "L 3463 178 \n",
       "Q 3153 47 2828 -22 \n",
       "Q 2503 -91 2169 -91 \n",
       "Q 1331 -91 842 396 \n",
       "Q 353 884 353 1716 \n",
       "Q 353 2575 817 3079 \n",
       "Q 1281 3584 2069 3584 \n",
       "Q 2775 3584 3186 3129 \n",
       "Q 3597 2675 3597 1894 \n",
       "z\n",
       "M 3022 2063 \n",
       "Q 3016 2534 2758 2815 \n",
       "Q 2500 3097 2075 3097 \n",
       "Q 1594 3097 1305 2825 \n",
       "Q 1016 2553 972 2059 \n",
       "L 3022 2063 \n",
       "z\n",
       "\" id=\"DejaVuSans-65\" transform=\"scale(0.015625)\"/>\n",
       "      <path d=\"M 191 3500 \n",
       "L 800 3500 \n",
       "L 1894 563 \n",
       "L 2988 3500 \n",
       "L 3597 3500 \n",
       "L 2284 0 \n",
       "L 1503 0 \n",
       "L 191 3500 \n",
       "z\n",
       "\" id=\"DejaVuSans-76\" transform=\"scale(0.015625)\"/>\n",
       "      <path d=\"M 603 4863 \n",
       "L 1178 4863 \n",
       "L 1178 0 \n",
       "L 603 0 \n",
       "L 603 4863 \n",
       "z\n",
       "\" id=\"DejaVuSans-6c\" transform=\"scale(0.015625)\"/>\n",
       "      <path d=\"M 1959 3097 \n",
       "Q 1497 3097 1228 2736 \n",
       "Q 959 2375 959 1747 \n",
       "Q 959 1119 1226 758 \n",
       "Q 1494 397 1959 397 \n",
       "Q 2419 397 2687 759 \n",
       "Q 2956 1122 2956 1747 \n",
       "Q 2956 2369 2687 2733 \n",
       "Q 2419 3097 1959 3097 \n",
       "z\n",
       "M 1959 3584 \n",
       "Q 2709 3584 3137 3096 \n",
       "Q 3566 2609 3566 1747 \n",
       "Q 3566 888 3137 398 \n",
       "Q 2709 -91 1959 -91 \n",
       "Q 1206 -91 779 398 \n",
       "Q 353 888 353 1747 \n",
       "Q 353 2609 779 3096 \n",
       "Q 1206 3584 1959 3584 \n",
       "z\n",
       "\" id=\"DejaVuSans-6f\" transform=\"scale(0.015625)\"/>\n",
       "      <path d=\"M 2375 4863 \n",
       "L 2375 4384 \n",
       "L 1825 4384 \n",
       "Q 1516 4384 1395 4259 \n",
       "Q 1275 4134 1275 3809 \n",
       "L 1275 3500 \n",
       "L 2222 3500 \n",
       "L 2222 3053 \n",
       "L 1275 3053 \n",
       "L 1275 0 \n",
       "L 697 0 \n",
       "L 697 3053 \n",
       "L 147 3053 \n",
       "L 147 3500 \n",
       "L 697 3500 \n",
       "L 697 3744 \n",
       "Q 697 4328 969 4595 \n",
       "Q 1241 4863 1831 4863 \n",
       "L 2375 4863 \n",
       "z\n",
       "\" id=\"DejaVuSans-66\" transform=\"scale(0.015625)\"/>\n",
       "      <path d=\"M 544 1381 \n",
       "L 544 3500 \n",
       "L 1119 3500 \n",
       "L 1119 1403 \n",
       "Q 1119 906 1312 657 \n",
       "Q 1506 409 1894 409 \n",
       "Q 2359 409 2629 706 \n",
       "Q 2900 1003 2900 1516 \n",
       "L 2900 3500 \n",
       "L 3475 3500 \n",
       "L 3475 0 \n",
       "L 2900 0 \n",
       "L 2900 538 \n",
       "Q 2691 219 2414 64 \n",
       "Q 2138 -91 1772 -91 \n",
       "Q 1169 -91 856 284 \n",
       "Q 544 659 544 1381 \n",
       "z\n",
       "M 1991 3584 \n",
       "L 1991 3584 \n",
       "z\n",
       "\" id=\"DejaVuSans-75\" transform=\"scale(0.015625)\"/>\n",
       "      <path d=\"M 1172 4494 \n",
       "L 1172 3500 \n",
       "L 2356 3500 \n",
       "L 2356 3053 \n",
       "L 1172 3053 \n",
       "L 1172 1153 \n",
       "Q 1172 725 1289 603 \n",
       "Q 1406 481 1766 481 \n",
       "L 2356 481 \n",
       "L 2356 0 \n",
       "L 1766 0 \n",
       "Q 1100 0 847 248 \n",
       "Q 594 497 594 1153 \n",
       "L 594 3053 \n",
       "L 172 3053 \n",
       "L 172 3500 \n",
       "L 594 3500 \n",
       "L 594 4494 \n",
       "L 1172 4494 \n",
       "z\n",
       "\" id=\"DejaVuSans-74\" transform=\"scale(0.015625)\"/>\n",
       "      <path d=\"M 1159 525 \n",
       "L 1159 -1331 \n",
       "L 581 -1331 \n",
       "L 581 3500 \n",
       "L 1159 3500 \n",
       "L 1159 2969 \n",
       "Q 1341 3281 1617 3432 \n",
       "Q 1894 3584 2278 3584 \n",
       "Q 2916 3584 3314 3078 \n",
       "Q 3713 2572 3713 1747 \n",
       "Q 3713 922 3314 415 \n",
       "Q 2916 -91 2278 -91 \n",
       "Q 1894 -91 1617 61 \n",
       "Q 1341 213 1159 525 \n",
       "z\n",
       "M 3116 1747 \n",
       "Q 3116 2381 2855 2742 \n",
       "Q 2594 3103 2138 3103 \n",
       "Q 1681 3103 1420 2742 \n",
       "Q 1159 2381 1159 1747 \n",
       "Q 1159 1113 1420 752 \n",
       "Q 1681 391 2138 391 \n",
       "Q 2594 391 2855 752 \n",
       "Q 3116 1113 3116 1747 \n",
       "z\n",
       "\" id=\"DejaVuSans-70\" transform=\"scale(0.015625)\"/>\n",
       "      <path d=\"M 2834 3397 \n",
       "L 2834 2853 \n",
       "Q 2591 2978 2328 3040 \n",
       "Q 2066 3103 1784 3103 \n",
       "Q 1356 3103 1142 2972 \n",
       "Q 928 2841 928 2578 \n",
       "Q 928 2378 1081 2264 \n",
       "Q 1234 2150 1697 2047 \n",
       "L 1894 2003 \n",
       "Q 2506 1872 2764 1633 \n",
       "Q 3022 1394 3022 966 \n",
       "Q 3022 478 2636 193 \n",
       "Q 2250 -91 1575 -91 \n",
       "Q 1294 -91 989 -36 \n",
       "Q 684 19 347 128 \n",
       "L 347 722 \n",
       "Q 666 556 975 473 \n",
       "Q 1284 391 1588 391 \n",
       "Q 1994 391 2212 530 \n",
       "Q 2431 669 2431 922 \n",
       "Q 2431 1156 2273 1281 \n",
       "Q 2116 1406 1581 1522 \n",
       "L 1381 1569 \n",
       "Q 847 1681 609 1914 \n",
       "Q 372 2147 372 2553 \n",
       "Q 372 3047 722 3315 \n",
       "Q 1072 3584 1716 3584 \n",
       "Q 2034 3584 2315 3537 \n",
       "Q 2597 3491 2834 3397 \n",
       "z\n",
       "\" id=\"DejaVuSans-73\" transform=\"scale(0.015625)\"/>\n",
       "      <path d=\"M 2906 1791 \n",
       "Q 2906 2416 2648 2759 \n",
       "Q 2391 3103 1925 3103 \n",
       "Q 1463 3103 1205 2759 \n",
       "Q 947 2416 947 1791 \n",
       "Q 947 1169 1205 825 \n",
       "Q 1463 481 1925 481 \n",
       "Q 2391 481 2648 825 \n",
       "Q 2906 1169 2906 1791 \n",
       "z\n",
       "M 3481 434 \n",
       "Q 3481 -459 3084 -895 \n",
       "Q 2688 -1331 1869 -1331 \n",
       "Q 1566 -1331 1297 -1286 \n",
       "Q 1028 -1241 775 -1147 \n",
       "L 775 -588 \n",
       "Q 1028 -725 1275 -790 \n",
       "Q 1522 -856 1778 -856 \n",
       "Q 2344 -856 2625 -561 \n",
       "Q 2906 -266 2906 331 \n",
       "L 2906 616 \n",
       "Q 2728 306 2450 153 \n",
       "Q 2172 0 1784 0 \n",
       "Q 1141 0 747 490 \n",
       "Q 353 981 353 1791 \n",
       "Q 353 2603 747 3093 \n",
       "Q 1141 3584 1784 3584 \n",
       "Q 2172 3584 2450 3431 \n",
       "Q 2728 3278 2906 2969 \n",
       "L 2906 3500 \n",
       "L 3481 3500 \n",
       "L 3481 434 \n",
       "z\n",
       "\" id=\"DejaVuSans-67\" transform=\"scale(0.015625)\"/>\n",
       "      <path d=\"M 2194 1759 \n",
       "Q 1497 1759 1228 1600 \n",
       "Q 959 1441 959 1056 \n",
       "Q 959 750 1161 570 \n",
       "Q 1363 391 1709 391 \n",
       "Q 2188 391 2477 730 \n",
       "Q 2766 1069 2766 1631 \n",
       "L 2766 1759 \n",
       "L 2194 1759 \n",
       "z\n",
       "M 3341 1997 \n",
       "L 3341 0 \n",
       "L 2766 0 \n",
       "L 2766 531 \n",
       "Q 2569 213 2275 61 \n",
       "Q 1981 -91 1556 -91 \n",
       "Q 1019 -91 701 211 \n",
       "Q 384 513 384 1019 \n",
       "Q 384 1609 779 1909 \n",
       "Q 1175 2209 1959 2209 \n",
       "L 2766 2209 \n",
       "L 2766 2266 \n",
       "Q 2766 2663 2505 2880 \n",
       "Q 2244 3097 1772 3097 \n",
       "Q 1472 3097 1187 3025 \n",
       "Q 903 2953 641 2809 \n",
       "L 641 3341 \n",
       "Q 956 3463 1253 3523 \n",
       "Q 1550 3584 1831 3584 \n",
       "Q 2591 3584 2966 3190 \n",
       "Q 3341 2797 3341 1997 \n",
       "z\n",
       "\" id=\"DejaVuSans-61\" transform=\"scale(0.015625)\"/>\n",
       "     </defs>\n",
       "     <use xlink:href=\"#DejaVuSans-4c\"/>\n",
       "     <use x=\"53.962891\" xlink:href=\"#DejaVuSans-65\"/>\n",
       "     <use x=\"115.486328\" xlink:href=\"#DejaVuSans-76\"/>\n",
       "     <use x=\"174.666016\" xlink:href=\"#DejaVuSans-65\"/>\n",
       "     <use x=\"236.189453\" xlink:href=\"#DejaVuSans-6c\"/>\n",
       "     <use x=\"263.972656\" xlink:href=\"#DejaVuSans-20\"/>\n",
       "     <use x=\"295.759766\" xlink:href=\"#DejaVuSans-6f\"/>\n",
       "     <use x=\"356.941406\" xlink:href=\"#DejaVuSans-66\"/>\n",
       "     <use x=\"392.146484\" xlink:href=\"#DejaVuSans-20\"/>\n",
       "     <use x=\"423.933594\" xlink:href=\"#DejaVuSans-6f\"/>\n",
       "     <use x=\"485.115234\" xlink:href=\"#DejaVuSans-75\"/>\n",
       "     <use x=\"548.494141\" xlink:href=\"#DejaVuSans-74\"/>\n",
       "     <use x=\"587.703125\" xlink:href=\"#DejaVuSans-70\"/>\n",
       "     <use x=\"651.179688\" xlink:href=\"#DejaVuSans-75\"/>\n",
       "     <use x=\"714.558594\" xlink:href=\"#DejaVuSans-74\"/>\n",
       "     <use x=\"753.767578\" xlink:href=\"#DejaVuSans-20\"/>\n",
       "     <use x=\"785.554688\" xlink:href=\"#DejaVuSans-73\"/>\n",
       "     <use x=\"837.654297\" xlink:href=\"#DejaVuSans-69\"/>\n",
       "     <use x=\"865.4375\" xlink:href=\"#DejaVuSans-67\"/>\n",
       "     <use x=\"928.914062\" xlink:href=\"#DejaVuSans-6e\"/>\n",
       "     <use x=\"992.292969\" xlink:href=\"#DejaVuSans-61\"/>\n",
       "     <use x=\"1053.572266\" xlink:href=\"#DejaVuSans-6c\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "  </g>\n",
       " </g>\n",
       " <defs>\n",
       "  <clipPath id=\"pe67ba8d3f0\">\n",
       "   <rect height=\"166.32\" width=\"558\" x=\"49.604688\" y=\"22.318125\"/>\n",
       "  </clipPath>\n",
       " </defs>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "<Figure size 960x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/pdf": "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\n",
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
       "  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
       "<svg height=\"226.194375pt\" version=\"1.1\" viewBox=\"0 0 608.342188 226.194375\" width=\"608.342188pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
       " <metadata>\n",
       "  <rdf:RDF xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\">\n",
       "   <cc:Work>\n",
       "    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n",
       "    <dc:date>2022-01-24T11:52:10.070970</dc:date>\n",
       "    <dc:format>image/svg+xml</dc:format>\n",
       "    <dc:creator>\n",
       "     <cc:Agent>\n",
       "      <dc:title>Matplotlib v3.4.3, https://matplotlib.org/</dc:title>\n",
       "     </cc:Agent>\n",
       "    </dc:creator>\n",
       "   </cc:Work>\n",
       "  </rdf:RDF>\n",
       " </metadata>\n",
       " <defs>\n",
       "  <style type=\"text/css\">*{stroke-linecap:butt;stroke-linejoin:round;}</style>\n",
       " </defs>\n",
       " <g id=\"figure_1\">\n",
       "  <g id=\"patch_1\">\n",
       "   <path d=\"M 0 226.194375 \n",
       "L 608.342188 226.194375 \n",
       "L 608.342188 0 \n",
       "L 0 0 \n",
       "z\n",
       "\" style=\"fill:#ffffff;\"/>\n",
       "  </g>\n",
       "  <g id=\"axes_1\">\n",
       "   <g id=\"patch_2\">\n",
       "    <path d=\"M 43.142187 188.638125 \n",
       "L 601.142187 188.638125 \n",
       "L 601.142187 22.318125 \n",
       "L 43.142187 22.318125 \n",
       "z\n",
       "\" style=\"fill:#ffffff;\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_1\">\n",
       "    <g id=\"xtick_1\">\n",
       "     <g id=\"line2d_1\">\n",
       "      <path clip-path=\"url(#p1b95011bef)\" d=\"M 43.142187 188.638125 \n",
       "L 43.142187 22.318125 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_2\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L 0 3.5 \n",
       "\" id=\"m3b8254156d\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"43.142187\" xlink:href=\"#m3b8254156d\" y=\"188.638125\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_1\">\n",
       "      <!-- 1000 -->\n",
       "      <g transform=\"translate(30.417187 203.236563)scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path d=\"M 794 531 \n",
       "L 1825 531 \n",
       "L 1825 4091 \n",
       "L 703 3866 \n",
       "L 703 4441 \n",
       "L 1819 4666 \n",
       "L 2450 4666 \n",
       "L 2450 531 \n",
       "L 3481 531 \n",
       "L 3481 0 \n",
       "L 794 0 \n",
       "L 794 531 \n",
       "z\n",
       "\" id=\"DejaVuSans-31\" transform=\"scale(0.015625)\"/>\n",
       "        <path d=\"M 2034 4250 \n",
       "Q 1547 4250 1301 3770 \n",
       "Q 1056 3291 1056 2328 \n",
       "Q 1056 1369 1301 889 \n",
       "Q 1547 409 2034 409 \n",
       "Q 2525 409 2770 889 \n",
       "Q 3016 1369 3016 2328 \n",
       "Q 3016 3291 2770 3770 \n",
       "Q 2525 4250 2034 4250 \n",
       "z\n",
       "M 2034 4750 \n",
       "Q 2819 4750 3233 4129 \n",
       "Q 3647 3509 3647 2328 \n",
       "Q 3647 1150 3233 529 \n",
       "Q 2819 -91 2034 -91 \n",
       "Q 1250 -91 836 529 \n",
       "Q 422 1150 422 2328 \n",
       "Q 422 3509 836 4129 \n",
       "Q 1250 4750 2034 4750 \n",
       "z\n",
       "\" id=\"DejaVuSans-30\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#DejaVuSans-31\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_2\">\n",
       "     <g id=\"line2d_3\">\n",
       "      <path clip-path=\"url(#p1b95011bef)\" d=\"M 157.019739 188.638125 \n",
       "L 157.019739 22.318125 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_4\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"157.019739\" xlink:href=\"#m3b8254156d\" y=\"188.638125\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_2\">\n",
       "      <!-- 1010 -->\n",
       "      <g transform=\"translate(144.294739 203.236563)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-31\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-31\"/>\n",
       "       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_3\">\n",
       "     <g id=\"line2d_5\">\n",
       "      <path clip-path=\"url(#p1b95011bef)\" d=\"M 270.89729 188.638125 \n",
       "L 270.89729 22.318125 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_6\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"270.89729\" xlink:href=\"#m3b8254156d\" y=\"188.638125\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_3\">\n",
       "      <!-- 1020 -->\n",
       "      <g transform=\"translate(258.17229 203.236563)scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path d=\"M 1228 531 \n",
       "L 3431 531 \n",
       "L 3431 0 \n",
       "L 469 0 \n",
       "L 469 531 \n",
       "Q 828 903 1448 1529 \n",
       "Q 2069 2156 2228 2338 \n",
       "Q 2531 2678 2651 2914 \n",
       "Q 2772 3150 2772 3378 \n",
       "Q 2772 3750 2511 3984 \n",
       "Q 2250 4219 1831 4219 \n",
       "Q 1534 4219 1204 4116 \n",
       "Q 875 4013 500 3803 \n",
       "L 500 4441 \n",
       "Q 881 4594 1212 4672 \n",
       "Q 1544 4750 1819 4750 \n",
       "Q 2544 4750 2975 4387 \n",
       "Q 3406 4025 3406 3419 \n",
       "Q 3406 3131 3298 2873 \n",
       "Q 3191 2616 2906 2266 \n",
       "Q 2828 2175 2409 1742 \n",
       "Q 1991 1309 1228 531 \n",
       "z\n",
       "\" id=\"DejaVuSans-32\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#DejaVuSans-31\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_4\">\n",
       "     <g id=\"line2d_7\">\n",
       "      <path clip-path=\"url(#p1b95011bef)\" d=\"M 384.774841 188.638125 \n",
       "L 384.774841 22.318125 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_8\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"384.774841\" xlink:href=\"#m3b8254156d\" y=\"188.638125\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_4\">\n",
       "      <!-- 1030 -->\n",
       "      <g transform=\"translate(372.049841 203.236563)scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path d=\"M 2597 2516 \n",
       "Q 3050 2419 3304 2112 \n",
       "Q 3559 1806 3559 1356 \n",
       "Q 3559 666 3084 287 \n",
       "Q 2609 -91 1734 -91 \n",
       "Q 1441 -91 1130 -33 \n",
       "Q 819 25 488 141 \n",
       "L 488 750 \n",
       "Q 750 597 1062 519 \n",
       "Q 1375 441 1716 441 \n",
       "Q 2309 441 2620 675 \n",
       "Q 2931 909 2931 1356 \n",
       "Q 2931 1769 2642 2001 \n",
       "Q 2353 2234 1838 2234 \n",
       "L 1294 2234 \n",
       "L 1294 2753 \n",
       "L 1863 2753 \n",
       "Q 2328 2753 2575 2939 \n",
       "Q 2822 3125 2822 3475 \n",
       "Q 2822 3834 2567 4026 \n",
       "Q 2313 4219 1838 4219 \n",
       "Q 1578 4219 1281 4162 \n",
       "Q 984 4106 628 3988 \n",
       "L 628 4550 \n",
       "Q 988 4650 1302 4700 \n",
       "Q 1616 4750 1894 4750 \n",
       "Q 2613 4750 3031 4423 \n",
       "Q 3450 4097 3450 3541 \n",
       "Q 3450 3153 3228 2886 \n",
       "Q 3006 2619 2597 2516 \n",
       "z\n",
       "\" id=\"DejaVuSans-33\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#DejaVuSans-31\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-33\"/>\n",
       "       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_5\">\n",
       "     <g id=\"line2d_9\">\n",
       "      <path clip-path=\"url(#p1b95011bef)\" d=\"M 498.652392 188.638125 \n",
       "L 498.652392 22.318125 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_10\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"498.652392\" xlink:href=\"#m3b8254156d\" y=\"188.638125\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_5\">\n",
       "      <!-- 1040 -->\n",
       "      <g transform=\"translate(485.927392 203.236563)scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path d=\"M 2419 4116 \n",
       "L 825 1625 \n",
       "L 2419 1625 \n",
       "L 2419 4116 \n",
       "z\n",
       "M 2253 4666 \n",
       "L 3047 4666 \n",
       "L 3047 1625 \n",
       "L 3713 1625 \n",
       "L 3713 1100 \n",
       "L 3047 1100 \n",
       "L 3047 0 \n",
       "L 2419 0 \n",
       "L 2419 1100 \n",
       "L 313 1100 \n",
       "L 313 1709 \n",
       "L 2253 4666 \n",
       "z\n",
       "\" id=\"DejaVuSans-34\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#DejaVuSans-31\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-34\"/>\n",
       "       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_6\">\n",
       "     <!-- $k$ -->\n",
       "     <g transform=\"translate(319.242188 216.914688)scale(0.1 -0.1)\">\n",
       "      <defs>\n",
       "       <path d=\"M 1172 4863 \n",
       "L 1747 4863 \n",
       "L 1197 2028 \n",
       "L 3169 3500 \n",
       "L 3916 3500 \n",
       "L 1716 1825 \n",
       "L 3322 0 \n",
       "L 2625 0 \n",
       "L 1131 1709 \n",
       "L 800 0 \n",
       "L 225 0 \n",
       "L 1172 4863 \n",
       "z\n",
       "\" id=\"DejaVuSans-Oblique-6b\" transform=\"scale(0.015625)\"/>\n",
       "      </defs>\n",
       "      <use transform=\"translate(0 0.015625)\" xlink:href=\"#DejaVuSans-Oblique-6b\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_2\">\n",
       "    <g id=\"ytick_1\">\n",
       "     <g id=\"line2d_11\">\n",
       "      <path clip-path=\"url(#p1b95011bef)\" d=\"M 43.142187 188.638125 \n",
       "L 601.142187 188.638125 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_12\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L -3.5 0 \n",
       "\" id=\"m4d1cc4bdf0\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"43.142187\" xlink:href=\"#m4d1cc4bdf0\" y=\"188.638125\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_7\">\n",
       "      <!-- −3 -->\n",
       "      <g transform=\"translate(21.4 192.437344)scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path d=\"M 678 2272 \n",
       "L 4684 2272 \n",
       "L 4684 1741 \n",
       "L 678 1741 \n",
       "L 678 2272 \n",
       "z\n",
       "\" id=\"DejaVuSans-2212\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#DejaVuSans-2212\"/>\n",
       "       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-33\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_2\">\n",
       "     <g id=\"line2d_13\">\n",
       "      <path clip-path=\"url(#p1b95011bef)\" d=\"M 43.142187 160.918125 \n",
       "L 601.142187 160.918125 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_14\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"43.142187\" xlink:href=\"#m4d1cc4bdf0\" y=\"160.918125\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_8\">\n",
       "      <!-- −2 -->\n",
       "      <g transform=\"translate(21.4 164.717344)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-2212\"/>\n",
       "       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_3\">\n",
       "     <g id=\"line2d_15\">\n",
       "      <path clip-path=\"url(#p1b95011bef)\" d=\"M 43.142187 133.198125 \n",
       "L 601.142187 133.198125 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_16\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"43.142187\" xlink:href=\"#m4d1cc4bdf0\" y=\"133.198125\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_9\">\n",
       "      <!-- −1 -->\n",
       "      <g transform=\"translate(21.4 136.997344)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-2212\"/>\n",
       "       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-31\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_4\">\n",
       "     <g id=\"line2d_17\">\n",
       "      <path clip-path=\"url(#p1b95011bef)\" d=\"M 43.142187 105.478125 \n",
       "L 601.142187 105.478125 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_18\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"43.142187\" xlink:href=\"#m4d1cc4bdf0\" y=\"105.478125\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_10\">\n",
       "      <!-- 0 -->\n",
       "      <g transform=\"translate(29.779687 109.277344)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_5\">\n",
       "     <g id=\"line2d_19\">\n",
       "      <path clip-path=\"url(#p1b95011bef)\" d=\"M 43.142187 77.758125 \n",
       "L 601.142187 77.758125 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_20\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"43.142187\" xlink:href=\"#m4d1cc4bdf0\" y=\"77.758125\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_11\">\n",
       "      <!-- 1 -->\n",
       "      <g transform=\"translate(29.779687 81.557344)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-31\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_6\">\n",
       "     <g id=\"line2d_21\">\n",
       "      <path clip-path=\"url(#p1b95011bef)\" d=\"M 43.142187 50.038125 \n",
       "L 601.142187 50.038125 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_22\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"43.142187\" xlink:href=\"#m4d1cc4bdf0\" y=\"50.038125\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_12\">\n",
       "      <!-- 2 -->\n",
       "      <g transform=\"translate(29.779687 53.837344)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-32\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_7\">\n",
       "     <g id=\"line2d_23\">\n",
       "      <path clip-path=\"url(#p1b95011bef)\" d=\"M 43.142187 22.318125 \n",
       "L 601.142187 22.318125 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_24\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"43.142187\" xlink:href=\"#m4d1cc4bdf0\" y=\"22.318125\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_13\">\n",
       "      <!-- 3 -->\n",
       "      <g transform=\"translate(29.779687 26.117344)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-33\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_14\">\n",
       "     <!-- $y_Q[k] / Q$  -->\n",
       "     <g transform=\"translate(14.8 125.378125)rotate(-90)scale(0.1 -0.1)\">\n",
       "      <defs>\n",
       "       <path d=\"M 1588 -325 \n",
       "Q 1188 -997 936 -1164 \n",
       "Q 684 -1331 294 -1331 \n",
       "L -159 -1331 \n",
       "L -63 -850 \n",
       "L 269 -850 \n",
       "Q 509 -850 678 -719 \n",
       "Q 847 -588 1056 -206 \n",
       "L 1234 128 \n",
       "L 459 3500 \n",
       "L 1069 3500 \n",
       "L 1650 819 \n",
       "L 3256 3500 \n",
       "L 3859 3500 \n",
       "L 1588 -325 \n",
       "z\n",
       "\" id=\"DejaVuSans-Oblique-79\" transform=\"scale(0.015625)\"/>\n",
       "       <path d=\"M 2309 -84 \n",
       "Q 2275 -88 2237 -89 \n",
       "Q 2200 -91 2125 -91 \n",
       "Q 1250 -91 756 411 \n",
       "Q 263 913 263 1797 \n",
       "Q 263 2319 452 2844 \n",
       "Q 641 3369 978 3788 \n",
       "Q 1369 4269 1858 4509 \n",
       "Q 2347 4750 2938 4750 \n",
       "Q 3794 4750 4287 4245 \n",
       "Q 4781 3741 4781 2869 \n",
       "Q 4781 1928 4265 1147 \n",
       "Q 3750 366 2919 44 \n",
       "L 3553 -825 \n",
       "L 2847 -825 \n",
       "L 2309 -84 \n",
       "z\n",
       "M 2919 4238 \n",
       "Q 2400 4238 2003 3986 \n",
       "Q 1606 3734 1313 3219 \n",
       "Q 1125 2891 1026 2522 \n",
       "Q 928 2153 928 1778 \n",
       "Q 928 1128 1239 775 \n",
       "Q 1550 422 2119 422 \n",
       "Q 2631 422 3032 676 \n",
       "Q 3434 931 3719 1434 \n",
       "Q 3909 1772 4009 2142 \n",
       "Q 4109 2513 4109 2881 \n",
       "Q 4109 3528 3796 3883 \n",
       "Q 3484 4238 2919 4238 \n",
       "z\n",
       "\" id=\"DejaVuSans-Oblique-51\" transform=\"scale(0.015625)\"/>\n",
       "       <path d=\"M 550 4863 \n",
       "L 1875 4863 \n",
       "L 1875 4416 \n",
       "L 1125 4416 \n",
       "L 1125 -397 \n",
       "L 1875 -397 \n",
       "L 1875 -844 \n",
       "L 550 -844 \n",
       "L 550 4863 \n",
       "z\n",
       "\" id=\"DejaVuSans-5b\" transform=\"scale(0.015625)\"/>\n",
       "       <path d=\"M 1947 4863 \n",
       "L 1947 -844 \n",
       "L 622 -844 \n",
       "L 622 -397 \n",
       "L 1369 -397 \n",
       "L 1369 4416 \n",
       "L 622 4416 \n",
       "L 622 4863 \n",
       "L 1947 4863 \n",
       "z\n",
       "\" id=\"DejaVuSans-5d\" transform=\"scale(0.015625)\"/>\n",
       "       <path d=\"M 1625 4666 \n",
       "L 2156 4666 \n",
       "L 531 -594 \n",
       "L 0 -594 \n",
       "L 1625 4666 \n",
       "z\n",
       "\" id=\"DejaVuSans-2f\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"DejaVuSans-20\" transform=\"scale(0.015625)\"/>\n",
       "      </defs>\n",
       "      <use transform=\"translate(0 0.015625)\" xlink:href=\"#DejaVuSans-Oblique-79\"/>\n",
       "      <use transform=\"translate(59.179688 -16.390625)scale(0.7)\" xlink:href=\"#DejaVuSans-Oblique-51\"/>\n",
       "      <use transform=\"translate(117.011719 0.015625)\" xlink:href=\"#DejaVuSans-5b\"/>\n",
       "      <use transform=\"translate(156.025391 0.015625)\" xlink:href=\"#DejaVuSans-Oblique-6b\"/>\n",
       "      <use transform=\"translate(213.935547 0.015625)\" xlink:href=\"#DejaVuSans-5d\"/>\n",
       "      <use transform=\"translate(252.949219 0.015625)\" xlink:href=\"#DejaVuSans-2f\"/>\n",
       "      <use transform=\"translate(286.640625 0.015625)\" xlink:href=\"#DejaVuSans-Oblique-51\"/>\n",
       "      <use transform=\"translate(365.351562 0.015625)\" xlink:href=\"#DejaVuSans-20\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"LineCollection_1\">\n",
       "    <path clip-path=\"url(#p1b95011bef)\" d=\"M 43.142187 105.478125 \n",
       "L 43.142187 50.038125 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p1b95011bef)\" d=\"M 54.529943 105.478125 \n",
       "L 54.529943 105.478125 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p1b95011bef)\" d=\"M 65.917698 105.478125 \n",
       "L 65.917698 160.918125 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p1b95011bef)\" d=\"M 77.305453 105.478125 \n",
       "L 77.305453 160.918125 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p1b95011bef)\" d=\"M 88.693208 105.478125 \n",
       "L 88.693208 105.478125 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p1b95011bef)\" d=\"M 100.080963 105.478125 \n",
       "L 100.080963 50.038125 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p1b95011bef)\" d=\"M 111.468718 105.478125 \n",
       "L 111.468718 50.038125 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p1b95011bef)\" d=\"M 122.856473 105.478125 \n",
       "L 122.856473 105.478125 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p1b95011bef)\" d=\"M 134.244228 105.478125 \n",
       "L 134.244228 160.918125 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p1b95011bef)\" d=\"M 145.631983 105.478125 \n",
       "L 145.631983 160.918125 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p1b95011bef)\" d=\"M 157.019739 105.478125 \n",
       "L 157.019739 105.478125 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p1b95011bef)\" d=\"M 168.407494 105.478125 \n",
       "L 168.407494 50.038125 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p1b95011bef)\" d=\"M 179.795249 105.478125 \n",
       "L 179.795249 50.038125 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p1b95011bef)\" d=\"M 191.183004 105.478125 \n",
       "L 191.183004 105.478125 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p1b95011bef)\" d=\"M 202.570759 105.478125 \n",
       "L 202.570759 160.918125 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p1b95011bef)\" d=\"M 213.958514 105.478125 \n",
       "L 213.958514 160.918125 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p1b95011bef)\" d=\"M 225.346269 105.478125 \n",
       "L 225.346269 105.478125 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p1b95011bef)\" d=\"M 236.734024 105.478125 \n",
       "L 236.734024 50.038125 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p1b95011bef)\" d=\"M 248.121779 105.478125 \n",
       "L 248.121779 50.038125 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p1b95011bef)\" d=\"M 259.509534 105.478125 \n",
       "L 259.509534 105.478125 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p1b95011bef)\" d=\"M 270.89729 105.478125 \n",
       "L 270.89729 160.918125 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p1b95011bef)\" d=\"M 282.285045 105.478125 \n",
       "L 282.285045 160.918125 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p1b95011bef)\" d=\"M 293.6728 105.478125 \n",
       "L 293.6728 105.478125 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p1b95011bef)\" d=\"M 305.060555 105.478125 \n",
       "L 305.060555 50.038125 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p1b95011bef)\" d=\"M 316.44831 105.478125 \n",
       "L 316.44831 50.038125 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p1b95011bef)\" d=\"M 327.836065 105.478125 \n",
       "L 327.836065 105.478125 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p1b95011bef)\" d=\"M 339.22382 105.478125 \n",
       "L 339.22382 160.918125 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p1b95011bef)\" d=\"M 350.611575 105.478125 \n",
       "L 350.611575 160.918125 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p1b95011bef)\" d=\"M 361.99933 105.478125 \n",
       "L 361.99933 105.478125 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p1b95011bef)\" d=\"M 373.387085 105.478125 \n",
       "L 373.387085 50.038125 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p1b95011bef)\" d=\"M 384.774841 105.478125 \n",
       "L 384.774841 50.038125 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p1b95011bef)\" d=\"M 396.162596 105.478125 \n",
       "L 396.162596 105.478125 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p1b95011bef)\" d=\"M 407.550351 105.478125 \n",
       "L 407.550351 160.918125 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p1b95011bef)\" d=\"M 418.938106 105.478125 \n",
       "L 418.938106 160.918125 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p1b95011bef)\" d=\"M 430.325861 105.478125 \n",
       "L 430.325861 105.478125 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p1b95011bef)\" d=\"M 441.713616 105.478125 \n",
       "L 441.713616 50.038125 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p1b95011bef)\" d=\"M 453.101371 105.478125 \n",
       "L 453.101371 50.038125 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p1b95011bef)\" d=\"M 464.489126 105.478125 \n",
       "L 464.489126 105.478125 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p1b95011bef)\" d=\"M 475.876881 105.478125 \n",
       "L 475.876881 160.918125 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p1b95011bef)\" d=\"M 487.264636 105.478125 \n",
       "L 487.264636 160.918125 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p1b95011bef)\" d=\"M 498.652392 105.478125 \n",
       "L 498.652392 105.478125 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p1b95011bef)\" d=\"M 510.040147 105.478125 \n",
       "L 510.040147 50.038125 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p1b95011bef)\" d=\"M 521.427902 105.478125 \n",
       "L 521.427902 50.038125 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p1b95011bef)\" d=\"M 532.815657 105.478125 \n",
       "L 532.815657 105.478125 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p1b95011bef)\" d=\"M 544.203412 105.478125 \n",
       "L 544.203412 160.918125 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p1b95011bef)\" d=\"M 555.591167 105.478125 \n",
       "L 555.591167 160.918125 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p1b95011bef)\" d=\"M 566.978922 105.478125 \n",
       "L 566.978922 105.478125 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p1b95011bef)\" d=\"M 578.366677 105.478125 \n",
       "L 578.366677 50.038125 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p1b95011bef)\" d=\"M 589.754432 105.478125 \n",
       "L 589.754432 50.038125 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p1b95011bef)\" d=\"M 601.142187 105.478125 \n",
       "L 601.142187 105.478125 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_25\">\n",
       "    <defs>\n",
       "     <path d=\"M 0 3 \n",
       "C 0.795609 3 1.55874 2.683901 2.12132 2.12132 \n",
       "C 2.683901 1.55874 3 0.795609 3 0 \n",
       "C 3 -0.795609 2.683901 -1.55874 2.12132 -2.12132 \n",
       "C 1.55874 -2.683901 0.795609 -3 0 -3 \n",
       "C -0.795609 -3 -1.55874 -2.683901 -2.12132 -2.12132 \n",
       "C -2.683901 -1.55874 -3 -0.795609 -3 0 \n",
       "C -3 0.795609 -2.683901 1.55874 -2.12132 2.12132 \n",
       "C -1.55874 2.683901 -0.795609 3 0 3 \n",
       "z\n",
       "\" id=\"ma4effe968f\" style=\"stroke:#1f77b4;\"/>\n",
       "    </defs>\n",
       "    <g clip-path=\"url(#p1b95011bef)\">\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"43.142187\" xlink:href=\"#ma4effe968f\" y=\"50.038125\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"54.529943\" xlink:href=\"#ma4effe968f\" y=\"105.478125\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"65.917698\" xlink:href=\"#ma4effe968f\" y=\"160.918125\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"77.305453\" xlink:href=\"#ma4effe968f\" y=\"160.918125\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"88.693208\" xlink:href=\"#ma4effe968f\" y=\"105.478125\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"100.080963\" xlink:href=\"#ma4effe968f\" y=\"50.038125\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"111.468718\" xlink:href=\"#ma4effe968f\" y=\"50.038125\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"122.856473\" xlink:href=\"#ma4effe968f\" y=\"105.478125\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"134.244228\" xlink:href=\"#ma4effe968f\" y=\"160.918125\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"145.631983\" xlink:href=\"#ma4effe968f\" y=\"160.918125\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"157.019739\" xlink:href=\"#ma4effe968f\" y=\"105.478125\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"168.407494\" xlink:href=\"#ma4effe968f\" y=\"50.038125\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"179.795249\" xlink:href=\"#ma4effe968f\" y=\"50.038125\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"191.183004\" xlink:href=\"#ma4effe968f\" y=\"105.478125\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"202.570759\" xlink:href=\"#ma4effe968f\" y=\"160.918125\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"213.958514\" xlink:href=\"#ma4effe968f\" y=\"160.918125\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"225.346269\" xlink:href=\"#ma4effe968f\" y=\"105.478125\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"236.734024\" xlink:href=\"#ma4effe968f\" y=\"50.038125\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"248.121779\" xlink:href=\"#ma4effe968f\" y=\"50.038125\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"259.509534\" xlink:href=\"#ma4effe968f\" y=\"105.478125\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"270.89729\" xlink:href=\"#ma4effe968f\" y=\"160.918125\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"282.285045\" xlink:href=\"#ma4effe968f\" y=\"160.918125\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"293.6728\" xlink:href=\"#ma4effe968f\" y=\"105.478125\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"305.060555\" xlink:href=\"#ma4effe968f\" y=\"50.038125\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"316.44831\" xlink:href=\"#ma4effe968f\" y=\"50.038125\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"327.836065\" xlink:href=\"#ma4effe968f\" y=\"105.478125\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"339.22382\" xlink:href=\"#ma4effe968f\" y=\"160.918125\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"350.611575\" xlink:href=\"#ma4effe968f\" y=\"160.918125\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"361.99933\" xlink:href=\"#ma4effe968f\" y=\"105.478125\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"373.387085\" xlink:href=\"#ma4effe968f\" y=\"50.038125\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"384.774841\" xlink:href=\"#ma4effe968f\" y=\"50.038125\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"396.162596\" xlink:href=\"#ma4effe968f\" y=\"105.478125\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"407.550351\" xlink:href=\"#ma4effe968f\" y=\"160.918125\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"418.938106\" xlink:href=\"#ma4effe968f\" y=\"160.918125\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"430.325861\" xlink:href=\"#ma4effe968f\" y=\"105.478125\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"441.713616\" xlink:href=\"#ma4effe968f\" y=\"50.038125\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"453.101371\" xlink:href=\"#ma4effe968f\" y=\"50.038125\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"464.489126\" xlink:href=\"#ma4effe968f\" y=\"105.478125\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"475.876881\" xlink:href=\"#ma4effe968f\" y=\"160.918125\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"487.264636\" xlink:href=\"#ma4effe968f\" y=\"160.918125\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"498.652392\" xlink:href=\"#ma4effe968f\" y=\"105.478125\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"510.040147\" xlink:href=\"#ma4effe968f\" y=\"50.038125\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"521.427902\" xlink:href=\"#ma4effe968f\" y=\"50.038125\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"532.815657\" xlink:href=\"#ma4effe968f\" y=\"105.478125\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"544.203412\" xlink:href=\"#ma4effe968f\" y=\"160.918125\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"555.591167\" xlink:href=\"#ma4effe968f\" y=\"160.918125\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"566.978922\" xlink:href=\"#ma4effe968f\" y=\"105.478125\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"578.366677\" xlink:href=\"#ma4effe968f\" y=\"50.038125\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"589.754432\" xlink:href=\"#ma4effe968f\" y=\"50.038125\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"601.142187\" xlink:href=\"#ma4effe968f\" y=\"105.478125\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_26\">\n",
       "    <path clip-path=\"url(#p1b95011bef)\" d=\"M 43.142187 105.478125 \n",
       "L 601.142187 105.478125 \n",
       "\" style=\"fill:none;stroke:#d62728;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_3\">\n",
       "    <path d=\"M 43.142187 188.638125 \n",
       "L 43.142187 22.318125 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_4\">\n",
       "    <path d=\"M 601.142187 188.638125 \n",
       "L 601.142187 22.318125 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_5\">\n",
       "    <path d=\"M 43.142187 188.638125 \n",
       "L 601.142187 188.638125 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_6\">\n",
       "    <path d=\"M 43.142187 22.318125 \n",
       "L 601.142187 22.318125 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"text_15\">\n",
       "    <!-- Output signal for zero input -->\n",
       "    <g transform=\"translate(239.398438 16.318125)scale(0.12 -0.12)\">\n",
       "     <defs>\n",
       "      <path d=\"M 2522 4238 \n",
       "Q 1834 4238 1429 3725 \n",
       "Q 1025 3213 1025 2328 \n",
       "Q 1025 1447 1429 934 \n",
       "Q 1834 422 2522 422 \n",
       "Q 3209 422 3611 934 \n",
       "Q 4013 1447 4013 2328 \n",
       "Q 4013 3213 3611 3725 \n",
       "Q 3209 4238 2522 4238 \n",
       "z\n",
       "M 2522 4750 \n",
       "Q 3503 4750 4090 4092 \n",
       "Q 4678 3434 4678 2328 \n",
       "Q 4678 1225 4090 567 \n",
       "Q 3503 -91 2522 -91 \n",
       "Q 1538 -91 948 565 \n",
       "Q 359 1222 359 2328 \n",
       "Q 359 3434 948 4092 \n",
       "Q 1538 4750 2522 4750 \n",
       "z\n",
       "\" id=\"DejaVuSans-4f\" transform=\"scale(0.015625)\"/>\n",
       "      <path d=\"M 544 1381 \n",
       "L 544 3500 \n",
       "L 1119 3500 \n",
       "L 1119 1403 \n",
       "Q 1119 906 1312 657 \n",
       "Q 1506 409 1894 409 \n",
       "Q 2359 409 2629 706 \n",
       "Q 2900 1003 2900 1516 \n",
       "L 2900 3500 \n",
       "L 3475 3500 \n",
       "L 3475 0 \n",
       "L 2900 0 \n",
       "L 2900 538 \n",
       "Q 2691 219 2414 64 \n",
       "Q 2138 -91 1772 -91 \n",
       "Q 1169 -91 856 284 \n",
       "Q 544 659 544 1381 \n",
       "z\n",
       "M 1991 3584 \n",
       "L 1991 3584 \n",
       "z\n",
       "\" id=\"DejaVuSans-75\" transform=\"scale(0.015625)\"/>\n",
       "      <path d=\"M 1172 4494 \n",
       "L 1172 3500 \n",
       "L 2356 3500 \n",
       "L 2356 3053 \n",
       "L 1172 3053 \n",
       "L 1172 1153 \n",
       "Q 1172 725 1289 603 \n",
       "Q 1406 481 1766 481 \n",
       "L 2356 481 \n",
       "L 2356 0 \n",
       "L 1766 0 \n",
       "Q 1100 0 847 248 \n",
       "Q 594 497 594 1153 \n",
       "L 594 3053 \n",
       "L 172 3053 \n",
       "L 172 3500 \n",
       "L 594 3500 \n",
       "L 594 4494 \n",
       "L 1172 4494 \n",
       "z\n",
       "\" id=\"DejaVuSans-74\" transform=\"scale(0.015625)\"/>\n",
       "      <path d=\"M 1159 525 \n",
       "L 1159 -1331 \n",
       "L 581 -1331 \n",
       "L 581 3500 \n",
       "L 1159 3500 \n",
       "L 1159 2969 \n",
       "Q 1341 3281 1617 3432 \n",
       "Q 1894 3584 2278 3584 \n",
       "Q 2916 3584 3314 3078 \n",
       "Q 3713 2572 3713 1747 \n",
       "Q 3713 922 3314 415 \n",
       "Q 2916 -91 2278 -91 \n",
       "Q 1894 -91 1617 61 \n",
       "Q 1341 213 1159 525 \n",
       "z\n",
       "M 3116 1747 \n",
       "Q 3116 2381 2855 2742 \n",
       "Q 2594 3103 2138 3103 \n",
       "Q 1681 3103 1420 2742 \n",
       "Q 1159 2381 1159 1747 \n",
       "Q 1159 1113 1420 752 \n",
       "Q 1681 391 2138 391 \n",
       "Q 2594 391 2855 752 \n",
       "Q 3116 1113 3116 1747 \n",
       "z\n",
       "\" id=\"DejaVuSans-70\" transform=\"scale(0.015625)\"/>\n",
       "      <path d=\"M 2834 3397 \n",
       "L 2834 2853 \n",
       "Q 2591 2978 2328 3040 \n",
       "Q 2066 3103 1784 3103 \n",
       "Q 1356 3103 1142 2972 \n",
       "Q 928 2841 928 2578 \n",
       "Q 928 2378 1081 2264 \n",
       "Q 1234 2150 1697 2047 \n",
       "L 1894 2003 \n",
       "Q 2506 1872 2764 1633 \n",
       "Q 3022 1394 3022 966 \n",
       "Q 3022 478 2636 193 \n",
       "Q 2250 -91 1575 -91 \n",
       "Q 1294 -91 989 -36 \n",
       "Q 684 19 347 128 \n",
       "L 347 722 \n",
       "Q 666 556 975 473 \n",
       "Q 1284 391 1588 391 \n",
       "Q 1994 391 2212 530 \n",
       "Q 2431 669 2431 922 \n",
       "Q 2431 1156 2273 1281 \n",
       "Q 2116 1406 1581 1522 \n",
       "L 1381 1569 \n",
       "Q 847 1681 609 1914 \n",
       "Q 372 2147 372 2553 \n",
       "Q 372 3047 722 3315 \n",
       "Q 1072 3584 1716 3584 \n",
       "Q 2034 3584 2315 3537 \n",
       "Q 2597 3491 2834 3397 \n",
       "z\n",
       "\" id=\"DejaVuSans-73\" transform=\"scale(0.015625)\"/>\n",
       "      <path d=\"M 603 3500 \n",
       "L 1178 3500 \n",
       "L 1178 0 \n",
       "L 603 0 \n",
       "L 603 3500 \n",
       "z\n",
       "M 603 4863 \n",
       "L 1178 4863 \n",
       "L 1178 4134 \n",
       "L 603 4134 \n",
       "L 603 4863 \n",
       "z\n",
       "\" id=\"DejaVuSans-69\" transform=\"scale(0.015625)\"/>\n",
       "      <path d=\"M 2906 1791 \n",
       "Q 2906 2416 2648 2759 \n",
       "Q 2391 3103 1925 3103 \n",
       "Q 1463 3103 1205 2759 \n",
       "Q 947 2416 947 1791 \n",
       "Q 947 1169 1205 825 \n",
       "Q 1463 481 1925 481 \n",
       "Q 2391 481 2648 825 \n",
       "Q 2906 1169 2906 1791 \n",
       "z\n",
       "M 3481 434 \n",
       "Q 3481 -459 3084 -895 \n",
       "Q 2688 -1331 1869 -1331 \n",
       "Q 1566 -1331 1297 -1286 \n",
       "Q 1028 -1241 775 -1147 \n",
       "L 775 -588 \n",
       "Q 1028 -725 1275 -790 \n",
       "Q 1522 -856 1778 -856 \n",
       "Q 2344 -856 2625 -561 \n",
       "Q 2906 -266 2906 331 \n",
       "L 2906 616 \n",
       "Q 2728 306 2450 153 \n",
       "Q 2172 0 1784 0 \n",
       "Q 1141 0 747 490 \n",
       "Q 353 981 353 1791 \n",
       "Q 353 2603 747 3093 \n",
       "Q 1141 3584 1784 3584 \n",
       "Q 2172 3584 2450 3431 \n",
       "Q 2728 3278 2906 2969 \n",
       "L 2906 3500 \n",
       "L 3481 3500 \n",
       "L 3481 434 \n",
       "z\n",
       "\" id=\"DejaVuSans-67\" transform=\"scale(0.015625)\"/>\n",
       "      <path d=\"M 3513 2113 \n",
       "L 3513 0 \n",
       "L 2938 0 \n",
       "L 2938 2094 \n",
       "Q 2938 2591 2744 2837 \n",
       "Q 2550 3084 2163 3084 \n",
       "Q 1697 3084 1428 2787 \n",
       "Q 1159 2491 1159 1978 \n",
       "L 1159 0 \n",
       "L 581 0 \n",
       "L 581 3500 \n",
       "L 1159 3500 \n",
       "L 1159 2956 \n",
       "Q 1366 3272 1645 3428 \n",
       "Q 1925 3584 2291 3584 \n",
       "Q 2894 3584 3203 3211 \n",
       "Q 3513 2838 3513 2113 \n",
       "z\n",
       "\" id=\"DejaVuSans-6e\" transform=\"scale(0.015625)\"/>\n",
       "      <path d=\"M 2194 1759 \n",
       "Q 1497 1759 1228 1600 \n",
       "Q 959 1441 959 1056 \n",
       "Q 959 750 1161 570 \n",
       "Q 1363 391 1709 391 \n",
       "Q 2188 391 2477 730 \n",
       "Q 2766 1069 2766 1631 \n",
       "L 2766 1759 \n",
       "L 2194 1759 \n",
       "z\n",
       "M 3341 1997 \n",
       "L 3341 0 \n",
       "L 2766 0 \n",
       "L 2766 531 \n",
       "Q 2569 213 2275 61 \n",
       "Q 1981 -91 1556 -91 \n",
       "Q 1019 -91 701 211 \n",
       "Q 384 513 384 1019 \n",
       "Q 384 1609 779 1909 \n",
       "Q 1175 2209 1959 2209 \n",
       "L 2766 2209 \n",
       "L 2766 2266 \n",
       "Q 2766 2663 2505 2880 \n",
       "Q 2244 3097 1772 3097 \n",
       "Q 1472 3097 1187 3025 \n",
       "Q 903 2953 641 2809 \n",
       "L 641 3341 \n",
       "Q 956 3463 1253 3523 \n",
       "Q 1550 3584 1831 3584 \n",
       "Q 2591 3584 2966 3190 \n",
       "Q 3341 2797 3341 1997 \n",
       "z\n",
       "\" id=\"DejaVuSans-61\" transform=\"scale(0.015625)\"/>\n",
       "      <path d=\"M 603 4863 \n",
       "L 1178 4863 \n",
       "L 1178 0 \n",
       "L 603 0 \n",
       "L 603 4863 \n",
       "z\n",
       "\" id=\"DejaVuSans-6c\" transform=\"scale(0.015625)\"/>\n",
       "      <path d=\"M 2375 4863 \n",
       "L 2375 4384 \n",
       "L 1825 4384 \n",
       "Q 1516 4384 1395 4259 \n",
       "Q 1275 4134 1275 3809 \n",
       "L 1275 3500 \n",
       "L 2222 3500 \n",
       "L 2222 3053 \n",
       "L 1275 3053 \n",
       "L 1275 0 \n",
       "L 697 0 \n",
       "L 697 3053 \n",
       "L 147 3053 \n",
       "L 147 3500 \n",
       "L 697 3500 \n",
       "L 697 3744 \n",
       "Q 697 4328 969 4595 \n",
       "Q 1241 4863 1831 4863 \n",
       "L 2375 4863 \n",
       "z\n",
       "\" id=\"DejaVuSans-66\" transform=\"scale(0.015625)\"/>\n",
       "      <path d=\"M 1959 3097 \n",
       "Q 1497 3097 1228 2736 \n",
       "Q 959 2375 959 1747 \n",
       "Q 959 1119 1226 758 \n",
       "Q 1494 397 1959 397 \n",
       "Q 2419 397 2687 759 \n",
       "Q 2956 1122 2956 1747 \n",
       "Q 2956 2369 2687 2733 \n",
       "Q 2419 3097 1959 3097 \n",
       "z\n",
       "M 1959 3584 \n",
       "Q 2709 3584 3137 3096 \n",
       "Q 3566 2609 3566 1747 \n",
       "Q 3566 888 3137 398 \n",
       "Q 2709 -91 1959 -91 \n",
       "Q 1206 -91 779 398 \n",
       "Q 353 888 353 1747 \n",
       "Q 353 2609 779 3096 \n",
       "Q 1206 3584 1959 3584 \n",
       "z\n",
       "\" id=\"DejaVuSans-6f\" transform=\"scale(0.015625)\"/>\n",
       "      <path d=\"M 2631 2963 \n",
       "Q 2534 3019 2420 3045 \n",
       "Q 2306 3072 2169 3072 \n",
       "Q 1681 3072 1420 2755 \n",
       "Q 1159 2438 1159 1844 \n",
       "L 1159 0 \n",
       "L 581 0 \n",
       "L 581 3500 \n",
       "L 1159 3500 \n",
       "L 1159 2956 \n",
       "Q 1341 3275 1631 3429 \n",
       "Q 1922 3584 2338 3584 \n",
       "Q 2397 3584 2469 3576 \n",
       "Q 2541 3569 2628 3553 \n",
       "L 2631 2963 \n",
       "z\n",
       "\" id=\"DejaVuSans-72\" transform=\"scale(0.015625)\"/>\n",
       "      <path d=\"M 353 3500 \n",
       "L 3084 3500 \n",
       "L 3084 2975 \n",
       "L 922 459 \n",
       "L 3084 459 \n",
       "L 3084 0 \n",
       "L 275 0 \n",
       "L 275 525 \n",
       "L 2438 3041 \n",
       "L 353 3041 \n",
       "L 353 3500 \n",
       "z\n",
       "\" id=\"DejaVuSans-7a\" transform=\"scale(0.015625)\"/>\n",
       "      <path d=\"M 3597 1894 \n",
       "L 3597 1613 \n",
       "L 953 1613 \n",
       "Q 991 1019 1311 708 \n",
       "Q 1631 397 2203 397 \n",
       "Q 2534 397 2845 478 \n",
       "Q 3156 559 3463 722 \n",
       "L 3463 178 \n",
       "Q 3153 47 2828 -22 \n",
       "Q 2503 -91 2169 -91 \n",
       "Q 1331 -91 842 396 \n",
       "Q 353 884 353 1716 \n",
       "Q 353 2575 817 3079 \n",
       "Q 1281 3584 2069 3584 \n",
       "Q 2775 3584 3186 3129 \n",
       "Q 3597 2675 3597 1894 \n",
       "z\n",
       "M 3022 2063 \n",
       "Q 3016 2534 2758 2815 \n",
       "Q 2500 3097 2075 3097 \n",
       "Q 1594 3097 1305 2825 \n",
       "Q 1016 2553 972 2059 \n",
       "L 3022 2063 \n",
       "z\n",
       "\" id=\"DejaVuSans-65\" transform=\"scale(0.015625)\"/>\n",
       "     </defs>\n",
       "     <use xlink:href=\"#DejaVuSans-4f\"/>\n",
       "     <use x=\"78.710938\" xlink:href=\"#DejaVuSans-75\"/>\n",
       "     <use x=\"142.089844\" xlink:href=\"#DejaVuSans-74\"/>\n",
       "     <use x=\"181.298828\" xlink:href=\"#DejaVuSans-70\"/>\n",
       "     <use x=\"244.775391\" xlink:href=\"#DejaVuSans-75\"/>\n",
       "     <use x=\"308.154297\" xlink:href=\"#DejaVuSans-74\"/>\n",
       "     <use x=\"347.363281\" xlink:href=\"#DejaVuSans-20\"/>\n",
       "     <use x=\"379.150391\" xlink:href=\"#DejaVuSans-73\"/>\n",
       "     <use x=\"431.25\" xlink:href=\"#DejaVuSans-69\"/>\n",
       "     <use x=\"459.033203\" xlink:href=\"#DejaVuSans-67\"/>\n",
       "     <use x=\"522.509766\" xlink:href=\"#DejaVuSans-6e\"/>\n",
       "     <use x=\"585.888672\" xlink:href=\"#DejaVuSans-61\"/>\n",
       "     <use x=\"647.167969\" xlink:href=\"#DejaVuSans-6c\"/>\n",
       "     <use x=\"674.951172\" xlink:href=\"#DejaVuSans-20\"/>\n",
       "     <use x=\"706.738281\" xlink:href=\"#DejaVuSans-66\"/>\n",
       "     <use x=\"741.943359\" xlink:href=\"#DejaVuSans-6f\"/>\n",
       "     <use x=\"803.125\" xlink:href=\"#DejaVuSans-72\"/>\n",
       "     <use x=\"844.238281\" xlink:href=\"#DejaVuSans-20\"/>\n",
       "     <use x=\"876.025391\" xlink:href=\"#DejaVuSans-7a\"/>\n",
       "     <use x=\"928.515625\" xlink:href=\"#DejaVuSans-65\"/>\n",
       "     <use x=\"990.039062\" xlink:href=\"#DejaVuSans-72\"/>\n",
       "     <use x=\"1028.902344\" xlink:href=\"#DejaVuSans-6f\"/>\n",
       "     <use x=\"1090.083984\" xlink:href=\"#DejaVuSans-20\"/>\n",
       "     <use x=\"1121.871094\" xlink:href=\"#DejaVuSans-69\"/>\n",
       "     <use x=\"1149.654297\" xlink:href=\"#DejaVuSans-6e\"/>\n",
       "     <use x=\"1213.033203\" xlink:href=\"#DejaVuSans-70\"/>\n",
       "     <use x=\"1276.509766\" xlink:href=\"#DejaVuSans-75\"/>\n",
       "     <use x=\"1339.888672\" xlink:href=\"#DejaVuSans-74\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "  </g>\n",
       " </g>\n",
       " <defs>\n",
       "  <clipPath id=\"p1b95011bef\">\n",
       "   <rect height=\"166.32\" width=\"558\" x=\"43.142187\" y=\"22.318125\"/>\n",
       "  </clipPath>\n",
       " </defs>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "<Figure size 960x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# compute input signal\n",
    "x = np.random.uniform(low=-1, high=1, size=256)\n",
    "x = np.concatenate((x, np.zeros(1024)))\n",
    "# compute output signal\n",
    "yQ = sos_df1(x, a, requantize=uniform_midtread_quantizer)\n",
    "\n",
    "# plot results\n",
    "np.seterr(divide=\"ignore\")\n",
    "plt.figure(figsize=(10, 3))\n",
    "plt.plot(20 * np.log10(np.abs(yQ)))\n",
    "plt.title(\"Level of output signal\")\n",
    "plt.xlabel(r\"$k$\")\n",
    "plt.ylabel(r\"$|y_Q[k]|$ in dB\")\n",
    "plt.grid()\n",
    "\n",
    "plt.figure(figsize=(10, 3))\n",
    "k = np.arange(1000, 1050)\n",
    "plt.stem(k, yQ[k] / Q)\n",
    "plt.title(\"Output signal for zero input\")\n",
    "plt.xlabel(r\"$k$\")\n",
    "plt.ylabel(r\"$y_Q[k] / Q$ \")\n",
    "plt.axis([k[0], k[-1], -3, 3])\n",
    "plt.grid()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Exercise**\n",
    "\n",
    "* Estimate the period of the small limit cycles. How is it related to the poles of the system?\n",
    "* What amplitude range is spanned?\n",
    "\n",
    "Solution: The period of the small limit cycles can be estimated from the second illustration as $P = 6$. The normalized frequency of a harmonic exponential signal with the same periodicity is given as $\\Omega_0 = \\frac{2 \\pi}{P} = \\frac{\\pi}{3}$. The poles of the system can be extracted from the code of the first example as $z_{\\infty 0,1} = 0.9 \\cdot e^{\\pm j \\frac{\\pi}{3}}$. The periodicity of the small limit cycles is hence linked to the normalized frequency of the poles. The amplitude range spanned by the small limit cycles is $\\pm 2 Q$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Large Limit Cycles\n",
    "\n",
    "Large limit cycles are periodic oscillations of a recursive filter due to overflows in the multiplications/additions. As for small limit cycles, large limit cycles may be present even after the input signal is zero. Their level is typically in the range of the minimum/maximum value of the requantizer. Large limit cycles should therefore be avoided in a practical implementation. The presence of large limit cycles depends on the scaling of input signal and coefficients, as well as the strategy used to cope for clipping. Amongst others, they can be avoided by proper scaling of the coefficients to prevent overflow. Again, a detailed treatment of this phenomenon is beyond the scope of this notebook and can be found in the literature."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Example - Large limit cycles of a SOS\n",
    "\n",
    "The following example illustrates large limit cycles for the system investigated in the first example. In order to trigger large limit cycles, the coefficients of the filter have been doubled. The input signal is uniformly distributed white noise till time-index $k=256$ and zero for the remainder."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/pdf": "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\n",
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
       "  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
       "<svg height=\"226.194375pt\" version=\"1.1\" viewBox=\"0 0 614.804688 226.194375\" width=\"614.804688pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
       " <metadata>\n",
       "  <rdf:RDF xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\">\n",
       "   <cc:Work>\n",
       "    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n",
       "    <dc:date>2022-01-24T11:52:10.303062</dc:date>\n",
       "    <dc:format>image/svg+xml</dc:format>\n",
       "    <dc:creator>\n",
       "     <cc:Agent>\n",
       "      <dc:title>Matplotlib v3.4.3, https://matplotlib.org/</dc:title>\n",
       "     </cc:Agent>\n",
       "    </dc:creator>\n",
       "   </cc:Work>\n",
       "  </rdf:RDF>\n",
       " </metadata>\n",
       " <defs>\n",
       "  <style type=\"text/css\">*{stroke-linecap:butt;stroke-linejoin:round;}</style>\n",
       " </defs>\n",
       " <g id=\"figure_1\">\n",
       "  <g id=\"patch_1\">\n",
       "   <path d=\"M 0 226.194375 \n",
       "L 614.804688 226.194375 \n",
       "L 614.804688 0 \n",
       "L 0 0 \n",
       "z\n",
       "\" style=\"fill:#ffffff;\"/>\n",
       "  </g>\n",
       "  <g id=\"axes_1\">\n",
       "   <g id=\"patch_2\">\n",
       "    <path d=\"M 49.604688 188.638125 \n",
       "L 607.604687 188.638125 \n",
       "L 607.604687 22.318125 \n",
       "L 49.604688 22.318125 \n",
       "z\n",
       "\" style=\"fill:#ffffff;\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_1\">\n",
       "    <g id=\"xtick_1\">\n",
       "     <g id=\"line2d_1\">\n",
       "      <path clip-path=\"url(#p2852b921d8)\" d=\"M 74.968324 188.638125 \n",
       "L 74.968324 22.318125 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_2\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L 0 3.5 \n",
       "\" id=\"mbc2f19000d\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"74.968324\" xlink:href=\"#mbc2f19000d\" y=\"188.638125\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_1\">\n",
       "      <!-- 0 -->\n",
       "      <g transform=\"translate(71.787074 203.236563)scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path d=\"M 2034 4250 \n",
       "Q 1547 4250 1301 3770 \n",
       "Q 1056 3291 1056 2328 \n",
       "Q 1056 1369 1301 889 \n",
       "Q 1547 409 2034 409 \n",
       "Q 2525 409 2770 889 \n",
       "Q 3016 1369 3016 2328 \n",
       "Q 3016 3291 2770 3770 \n",
       "Q 2525 4250 2034 4250 \n",
       "z\n",
       "M 2034 4750 \n",
       "Q 2819 4750 3233 4129 \n",
       "Q 3647 3509 3647 2328 \n",
       "Q 3647 1150 3233 529 \n",
       "Q 2819 -91 2034 -91 \n",
       "Q 1250 -91 836 529 \n",
       "Q 422 1150 422 2328 \n",
       "Q 422 3509 836 4129 \n",
       "Q 1250 4750 2034 4750 \n",
       "z\n",
       "\" id=\"DejaVuSans-30\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_2\">\n",
       "     <g id=\"line2d_3\">\n",
       "      <path clip-path=\"url(#p2852b921d8)\" d=\"M 154.291659 188.638125 \n",
       "L 154.291659 22.318125 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_4\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"154.291659\" xlink:href=\"#mbc2f19000d\" y=\"188.638125\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_2\">\n",
       "      <!-- 200 -->\n",
       "      <g transform=\"translate(144.747909 203.236563)scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path d=\"M 1228 531 \n",
       "L 3431 531 \n",
       "L 3431 0 \n",
       "L 469 0 \n",
       "L 469 531 \n",
       "Q 828 903 1448 1529 \n",
       "Q 2069 2156 2228 2338 \n",
       "Q 2531 2678 2651 2914 \n",
       "Q 2772 3150 2772 3378 \n",
       "Q 2772 3750 2511 3984 \n",
       "Q 2250 4219 1831 4219 \n",
       "Q 1534 4219 1204 4116 \n",
       "Q 875 4013 500 3803 \n",
       "L 500 4441 \n",
       "Q 881 4594 1212 4672 \n",
       "Q 1544 4750 1819 4750 \n",
       "Q 2544 4750 2975 4387 \n",
       "Q 3406 4025 3406 3419 \n",
       "Q 3406 3131 3298 2873 \n",
       "Q 3191 2616 2906 2266 \n",
       "Q 2828 2175 2409 1742 \n",
       "Q 1991 1309 1228 531 \n",
       "z\n",
       "\" id=\"DejaVuSans-32\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#DejaVuSans-32\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_3\">\n",
       "     <g id=\"line2d_5\">\n",
       "      <path clip-path=\"url(#p2852b921d8)\" d=\"M 233.614994 188.638125 \n",
       "L 233.614994 22.318125 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_6\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"233.614994\" xlink:href=\"#mbc2f19000d\" y=\"188.638125\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_3\">\n",
       "      <!-- 400 -->\n",
       "      <g transform=\"translate(224.071244 203.236563)scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path d=\"M 2419 4116 \n",
       "L 825 1625 \n",
       "L 2419 1625 \n",
       "L 2419 4116 \n",
       "z\n",
       "M 2253 4666 \n",
       "L 3047 4666 \n",
       "L 3047 1625 \n",
       "L 3713 1625 \n",
       "L 3713 1100 \n",
       "L 3047 1100 \n",
       "L 3047 0 \n",
       "L 2419 0 \n",
       "L 2419 1100 \n",
       "L 313 1100 \n",
       "L 313 1709 \n",
       "L 2253 4666 \n",
       "z\n",
       "\" id=\"DejaVuSans-34\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#DejaVuSans-34\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_4\">\n",
       "     <g id=\"line2d_7\">\n",
       "      <path clip-path=\"url(#p2852b921d8)\" d=\"M 312.938329 188.638125 \n",
       "L 312.938329 22.318125 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_8\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"312.938329\" xlink:href=\"#mbc2f19000d\" y=\"188.638125\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_4\">\n",
       "      <!-- 600 -->\n",
       "      <g transform=\"translate(303.394579 203.236563)scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path d=\"M 2113 2584 \n",
       "Q 1688 2584 1439 2293 \n",
       "Q 1191 2003 1191 1497 \n",
       "Q 1191 994 1439 701 \n",
       "Q 1688 409 2113 409 \n",
       "Q 2538 409 2786 701 \n",
       "Q 3034 994 3034 1497 \n",
       "Q 3034 2003 2786 2293 \n",
       "Q 2538 2584 2113 2584 \n",
       "z\n",
       "M 3366 4563 \n",
       "L 3366 3988 \n",
       "Q 3128 4100 2886 4159 \n",
       "Q 2644 4219 2406 4219 \n",
       "Q 1781 4219 1451 3797 \n",
       "Q 1122 3375 1075 2522 \n",
       "Q 1259 2794 1537 2939 \n",
       "Q 1816 3084 2150 3084 \n",
       "Q 2853 3084 3261 2657 \n",
       "Q 3669 2231 3669 1497 \n",
       "Q 3669 778 3244 343 \n",
       "Q 2819 -91 2113 -91 \n",
       "Q 1303 -91 875 529 \n",
       "Q 447 1150 447 2328 \n",
       "Q 447 3434 972 4092 \n",
       "Q 1497 4750 2381 4750 \n",
       "Q 2619 4750 2861 4703 \n",
       "Q 3103 4656 3366 4563 \n",
       "z\n",
       "\" id=\"DejaVuSans-36\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#DejaVuSans-36\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_5\">\n",
       "     <g id=\"line2d_9\">\n",
       "      <path clip-path=\"url(#p2852b921d8)\" d=\"M 392.261664 188.638125 \n",
       "L 392.261664 22.318125 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_10\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"392.261664\" xlink:href=\"#mbc2f19000d\" y=\"188.638125\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_5\">\n",
       "      <!-- 800 -->\n",
       "      <g transform=\"translate(382.717914 203.236563)scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path d=\"M 2034 2216 \n",
       "Q 1584 2216 1326 1975 \n",
       "Q 1069 1734 1069 1313 \n",
       "Q 1069 891 1326 650 \n",
       "Q 1584 409 2034 409 \n",
       "Q 2484 409 2743 651 \n",
       "Q 3003 894 3003 1313 \n",
       "Q 3003 1734 2745 1975 \n",
       "Q 2488 2216 2034 2216 \n",
       "z\n",
       "M 1403 2484 \n",
       "Q 997 2584 770 2862 \n",
       "Q 544 3141 544 3541 \n",
       "Q 544 4100 942 4425 \n",
       "Q 1341 4750 2034 4750 \n",
       "Q 2731 4750 3128 4425 \n",
       "Q 3525 4100 3525 3541 \n",
       "Q 3525 3141 3298 2862 \n",
       "Q 3072 2584 2669 2484 \n",
       "Q 3125 2378 3379 2068 \n",
       "Q 3634 1759 3634 1313 \n",
       "Q 3634 634 3220 271 \n",
       "Q 2806 -91 2034 -91 \n",
       "Q 1263 -91 848 271 \n",
       "Q 434 634 434 1313 \n",
       "Q 434 1759 690 2068 \n",
       "Q 947 2378 1403 2484 \n",
       "z\n",
       "M 1172 3481 \n",
       "Q 1172 3119 1398 2916 \n",
       "Q 1625 2713 2034 2713 \n",
       "Q 2441 2713 2670 2916 \n",
       "Q 2900 3119 2900 3481 \n",
       "Q 2900 3844 2670 4047 \n",
       "Q 2441 4250 2034 4250 \n",
       "Q 1625 4250 1398 4047 \n",
       "Q 1172 3844 1172 3481 \n",
       "z\n",
       "\" id=\"DejaVuSans-38\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#DejaVuSans-38\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_6\">\n",
       "     <g id=\"line2d_11\">\n",
       "      <path clip-path=\"url(#p2852b921d8)\" d=\"M 471.584999 188.638125 \n",
       "L 471.584999 22.318125 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_12\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"471.584999\" xlink:href=\"#mbc2f19000d\" y=\"188.638125\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_6\">\n",
       "      <!-- 1000 -->\n",
       "      <g transform=\"translate(458.859999 203.236563)scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path d=\"M 794 531 \n",
       "L 1825 531 \n",
       "L 1825 4091 \n",
       "L 703 3866 \n",
       "L 703 4441 \n",
       "L 1819 4666 \n",
       "L 2450 4666 \n",
       "L 2450 531 \n",
       "L 3481 531 \n",
       "L 3481 0 \n",
       "L 794 0 \n",
       "L 794 531 \n",
       "z\n",
       "\" id=\"DejaVuSans-31\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#DejaVuSans-31\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_7\">\n",
       "     <g id=\"line2d_13\">\n",
       "      <path clip-path=\"url(#p2852b921d8)\" d=\"M 550.908334 188.638125 \n",
       "L 550.908334 22.318125 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_14\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"550.908334\" xlink:href=\"#mbc2f19000d\" y=\"188.638125\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_7\">\n",
       "      <!-- 1200 -->\n",
       "      <g transform=\"translate(538.183334 203.236563)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-31\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_8\">\n",
       "     <!-- $k$ -->\n",
       "     <g transform=\"translate(325.704688 216.914688)scale(0.1 -0.1)\">\n",
       "      <defs>\n",
       "       <path d=\"M 1172 4863 \n",
       "L 1747 4863 \n",
       "L 1197 2028 \n",
       "L 3169 3500 \n",
       "L 3916 3500 \n",
       "L 1716 1825 \n",
       "L 3322 0 \n",
       "L 2625 0 \n",
       "L 1131 1709 \n",
       "L 800 0 \n",
       "L 225 0 \n",
       "L 1172 4863 \n",
       "z\n",
       "\" id=\"DejaVuSans-Oblique-6b\" transform=\"scale(0.015625)\"/>\n",
       "      </defs>\n",
       "      <use transform=\"translate(0 0.015625)\" xlink:href=\"#DejaVuSans-Oblique-6b\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_2\">\n",
       "    <g id=\"ytick_1\">\n",
       "     <g id=\"line2d_15\">\n",
       "      <path clip-path=\"url(#p2852b921d8)\" d=\"M 49.604688 166.135584 \n",
       "L 607.604687 166.135584 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_16\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L -3.5 0 \n",
       "\" id=\"m6ccee1a8ca\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"49.604688\" xlink:href=\"#m6ccee1a8ca\" y=\"166.135584\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_9\">\n",
       "      <!-- −60 -->\n",
       "      <g transform=\"translate(21.5 169.934802)scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path d=\"M 678 2272 \n",
       "L 4684 2272 \n",
       "L 4684 1741 \n",
       "L 678 1741 \n",
       "L 678 2272 \n",
       "z\n",
       "\" id=\"DejaVuSans-2212\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#DejaVuSans-2212\"/>\n",
       "       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-36\"/>\n",
       "       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_2\">\n",
       "     <g id=\"line2d_17\">\n",
       "      <path clip-path=\"url(#p2852b921d8)\" d=\"M 49.604688 126.487999 \n",
       "L 607.604687 126.487999 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_18\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"49.604688\" xlink:href=\"#m6ccee1a8ca\" y=\"126.487999\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_10\">\n",
       "      <!-- −40 -->\n",
       "      <g transform=\"translate(21.5 130.287218)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-2212\"/>\n",
       "       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-34\"/>\n",
       "       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_3\">\n",
       "     <g id=\"line2d_19\">\n",
       "      <path clip-path=\"url(#p2852b921d8)\" d=\"M 49.604688 86.840415 \n",
       "L 607.604687 86.840415 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_20\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"49.604688\" xlink:href=\"#m6ccee1a8ca\" y=\"86.840415\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_11\">\n",
       "      <!-- −20 -->\n",
       "      <g transform=\"translate(21.5 90.639633)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-2212\"/>\n",
       "       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_4\">\n",
       "     <g id=\"line2d_21\">\n",
       "      <path clip-path=\"url(#p2852b921d8)\" d=\"M 49.604688 47.19283 \n",
       "L 607.604687 47.19283 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_22\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"49.604688\" xlink:href=\"#m6ccee1a8ca\" y=\"47.19283\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_12\">\n",
       "      <!-- 0 -->\n",
       "      <g transform=\"translate(36.242188 50.992049)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_13\">\n",
       "     <!-- $|y_Q[k]|$ in dB -->\n",
       "     <g transform=\"translate(14.9 135.878125)rotate(-90)scale(0.1 -0.1)\">\n",
       "      <defs>\n",
       "       <path d=\"M 1344 4891 \n",
       "L 1344 -1509 \n",
       "L 813 -1509 \n",
       "L 813 4891 \n",
       "L 1344 4891 \n",
       "z\n",
       "\" id=\"DejaVuSans-7c\" transform=\"scale(0.015625)\"/>\n",
       "       <path d=\"M 1588 -325 \n",
       "Q 1188 -997 936 -1164 \n",
       "Q 684 -1331 294 -1331 \n",
       "L -159 -1331 \n",
       "L -63 -850 \n",
       "L 269 -850 \n",
       "Q 509 -850 678 -719 \n",
       "Q 847 -588 1056 -206 \n",
       "L 1234 128 \n",
       "L 459 3500 \n",
       "L 1069 3500 \n",
       "L 1650 819 \n",
       "L 3256 3500 \n",
       "L 3859 3500 \n",
       "L 1588 -325 \n",
       "z\n",
       "\" id=\"DejaVuSans-Oblique-79\" transform=\"scale(0.015625)\"/>\n",
       "       <path d=\"M 2309 -84 \n",
       "Q 2275 -88 2237 -89 \n",
       "Q 2200 -91 2125 -91 \n",
       "Q 1250 -91 756 411 \n",
       "Q 263 913 263 1797 \n",
       "Q 263 2319 452 2844 \n",
       "Q 641 3369 978 3788 \n",
       "Q 1369 4269 1858 4509 \n",
       "Q 2347 4750 2938 4750 \n",
       "Q 3794 4750 4287 4245 \n",
       "Q 4781 3741 4781 2869 \n",
       "Q 4781 1928 4265 1147 \n",
       "Q 3750 366 2919 44 \n",
       "L 3553 -825 \n",
       "L 2847 -825 \n",
       "L 2309 -84 \n",
       "z\n",
       "M 2919 4238 \n",
       "Q 2400 4238 2003 3986 \n",
       "Q 1606 3734 1313 3219 \n",
       "Q 1125 2891 1026 2522 \n",
       "Q 928 2153 928 1778 \n",
       "Q 928 1128 1239 775 \n",
       "Q 1550 422 2119 422 \n",
       "Q 2631 422 3032 676 \n",
       "Q 3434 931 3719 1434 \n",
       "Q 3909 1772 4009 2142 \n",
       "Q 4109 2513 4109 2881 \n",
       "Q 4109 3528 3796 3883 \n",
       "Q 3484 4238 2919 4238 \n",
       "z\n",
       "\" id=\"DejaVuSans-Oblique-51\" transform=\"scale(0.015625)\"/>\n",
       "       <path d=\"M 550 4863 \n",
       "L 1875 4863 \n",
       "L 1875 4416 \n",
       "L 1125 4416 \n",
       "L 1125 -397 \n",
       "L 1875 -397 \n",
       "L 1875 -844 \n",
       "L 550 -844 \n",
       "L 550 4863 \n",
       "z\n",
       "\" id=\"DejaVuSans-5b\" transform=\"scale(0.015625)\"/>\n",
       "       <path d=\"M 1947 4863 \n",
       "L 1947 -844 \n",
       "L 622 -844 \n",
       "L 622 -397 \n",
       "L 1369 -397 \n",
       "L 1369 4416 \n",
       "L 622 4416 \n",
       "L 622 4863 \n",
       "L 1947 4863 \n",
       "z\n",
       "\" id=\"DejaVuSans-5d\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"DejaVuSans-20\" transform=\"scale(0.015625)\"/>\n",
       "       <path d=\"M 603 3500 \n",
       "L 1178 3500 \n",
       "L 1178 0 \n",
       "L 603 0 \n",
       "L 603 3500 \n",
       "z\n",
       "M 603 4863 \n",
       "L 1178 4863 \n",
       "L 1178 4134 \n",
       "L 603 4134 \n",
       "L 603 4863 \n",
       "z\n",
       "\" id=\"DejaVuSans-69\" transform=\"scale(0.015625)\"/>\n",
       "       <path d=\"M 3513 2113 \n",
       "L 3513 0 \n",
       "L 2938 0 \n",
       "L 2938 2094 \n",
       "Q 2938 2591 2744 2837 \n",
       "Q 2550 3084 2163 3084 \n",
       "Q 1697 3084 1428 2787 \n",
       "Q 1159 2491 1159 1978 \n",
       "L 1159 0 \n",
       "L 581 0 \n",
       "L 581 3500 \n",
       "L 1159 3500 \n",
       "L 1159 2956 \n",
       "Q 1366 3272 1645 3428 \n",
       "Q 1925 3584 2291 3584 \n",
       "Q 2894 3584 3203 3211 \n",
       "Q 3513 2838 3513 2113 \n",
       "z\n",
       "\" id=\"DejaVuSans-6e\" transform=\"scale(0.015625)\"/>\n",
       "       <path d=\"M 2906 2969 \n",
       "L 2906 4863 \n",
       "L 3481 4863 \n",
       "L 3481 0 \n",
       "L 2906 0 \n",
       "L 2906 525 \n",
       "Q 2725 213 2448 61 \n",
       "Q 2172 -91 1784 -91 \n",
       "Q 1150 -91 751 415 \n",
       "Q 353 922 353 1747 \n",
       "Q 353 2572 751 3078 \n",
       "Q 1150 3584 1784 3584 \n",
       "Q 2172 3584 2448 3432 \n",
       "Q 2725 3281 2906 2969 \n",
       "z\n",
       "M 947 1747 \n",
       "Q 947 1113 1208 752 \n",
       "Q 1469 391 1925 391 \n",
       "Q 2381 391 2643 752 \n",
       "Q 2906 1113 2906 1747 \n",
       "Q 2906 2381 2643 2742 \n",
       "Q 2381 3103 1925 3103 \n",
       "Q 1469 3103 1208 2742 \n",
       "Q 947 2381 947 1747 \n",
       "z\n",
       "\" id=\"DejaVuSans-64\" transform=\"scale(0.015625)\"/>\n",
       "       <path d=\"M 1259 2228 \n",
       "L 1259 519 \n",
       "L 2272 519 \n",
       "Q 2781 519 3026 730 \n",
       "Q 3272 941 3272 1375 \n",
       "Q 3272 1813 3026 2020 \n",
       "Q 2781 2228 2272 2228 \n",
       "L 1259 2228 \n",
       "z\n",
       "M 1259 4147 \n",
       "L 1259 2741 \n",
       "L 2194 2741 \n",
       "Q 2656 2741 2882 2914 \n",
       "Q 3109 3088 3109 3444 \n",
       "Q 3109 3797 2882 3972 \n",
       "Q 2656 4147 2194 4147 \n",
       "L 1259 4147 \n",
       "z\n",
       "M 628 4666 \n",
       "L 2241 4666 \n",
       "Q 2963 4666 3353 4366 \n",
       "Q 3744 4066 3744 3513 \n",
       "Q 3744 3084 3544 2831 \n",
       "Q 3344 2578 2956 2516 \n",
       "Q 3422 2416 3680 2098 \n",
       "Q 3938 1781 3938 1306 \n",
       "Q 3938 681 3513 340 \n",
       "Q 3088 0 2303 0 \n",
       "L 628 0 \n",
       "L 628 4666 \n",
       "z\n",
       "\" id=\"DejaVuSans-42\" transform=\"scale(0.015625)\"/>\n",
       "      </defs>\n",
       "      <use transform=\"translate(0 0.578125)\" xlink:href=\"#DejaVuSans-7c\"/>\n",
       "      <use transform=\"translate(33.691406 0.578125)\" xlink:href=\"#DejaVuSans-Oblique-79\"/>\n",
       "      <use transform=\"translate(92.871094 -15.828125)scale(0.7)\" xlink:href=\"#DejaVuSans-Oblique-51\"/>\n",
       "      <use transform=\"translate(150.703125 0.578125)\" xlink:href=\"#DejaVuSans-5b\"/>\n",
       "      <use transform=\"translate(189.716797 0.578125)\" xlink:href=\"#DejaVuSans-Oblique-6b\"/>\n",
       "      <use transform=\"translate(247.626953 0.578125)\" xlink:href=\"#DejaVuSans-5d\"/>\n",
       "      <use transform=\"translate(286.640625 0.578125)\" xlink:href=\"#DejaVuSans-7c\"/>\n",
       "      <use transform=\"translate(320.332031 0.578125)\" xlink:href=\"#DejaVuSans-20\"/>\n",
       "      <use transform=\"translate(352.119141 0.578125)\" xlink:href=\"#DejaVuSans-69\"/>\n",
       "      <use transform=\"translate(379.902344 0.578125)\" xlink:href=\"#DejaVuSans-6e\"/>\n",
       "      <use transform=\"translate(443.28125 0.578125)\" xlink:href=\"#DejaVuSans-20\"/>\n",
       "      <use transform=\"translate(475.068359 0.578125)\" xlink:href=\"#DejaVuSans-64\"/>\n",
       "      <use transform=\"translate(538.544922 0.578125)\" xlink:href=\"#DejaVuSans-42\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_23\">\n",
       "    <path clip-path=\"url(#p2852b921d8)\" d=\"M 74.968324 48.311687 \n",
       "L 75.364941 47.922207 \n",
       "L 75.761557 61.400458 \n",
       "L 76.158174 47.390787 \n",
       "L 76.554791 62.548544 \n",
       "L 76.951407 52.848648 \n",
       "L 77.348024 49.426056 \n",
       "L 77.744641 50.281942 \n",
       "L 78.141257 49.716108 \n",
       "L 78.537874 30.290598 \n",
       "L 78.934491 53.001301 \n",
       "L 79.331107 35.700539 \n",
       "L 79.727724 74.284788 \n",
       "L 80.124341 44.357412 \n",
       "L 80.520957 40.654771 \n",
       "L 80.917574 87.780567 \n",
       "L 81.314191 70.95392 \n",
       "L 81.710807 63.644595 \n",
       "L 82.107424 60.507349 \n",
       "L 82.504041 61.42799 \n",
       "L 82.900657 71.633839 \n",
       "L 83.297274 40.263169 \n",
       "L 83.693891 48.119111 \n",
       "L 84.487124 70.144497 \n",
       "L 84.883741 88.342662 \n",
       "L 85.280357 45.183195 \n",
       "L 85.676974 43.190944 \n",
       "L 86.073591 57.485645 \n",
       "L 86.470207 37.162396 \n",
       "L 86.866824 57.49494 \n",
       "L 87.263441 31.547024 \n",
       "L 87.660057 79.70922 \n",
       "L 88.056674 33.729094 \n",
       "L 88.453291 52.174044 \n",
       "L 88.849907 54.398504 \n",
       "L 89.246524 83.294005 \n",
       "L 89.643141 67.936149 \n",
       "L 90.039758 57.462883 \n",
       "L 90.436374 60.889634 \n",
       "L 90.832991 45.64265 \n",
       "L 91.626224 48.569381 \n",
       "L 92.022841 77.458037 \n",
       "L 92.419458 65.54948 \n",
       "L 92.816074 41.495193 \n",
       "L 93.609308 64.512486 \n",
       "L 94.005924 53.265427 \n",
       "L 94.402541 94.487028 \n",
       "L 94.799158 36.628318 \n",
       "L 95.195774 39.566046 \n",
       "L 95.592391 63.166401 \n",
       "L 95.989008 51.278697 \n",
       "L 96.385624 65.142666 \n",
       "L 96.782241 99.439364 \n",
       "L 97.178858 59.267473 \n",
       "L 97.575474 56.130562 \n",
       "L 97.972091 60.758036 \n",
       "L 98.368708 40.231388 \n",
       "L 98.765324 77.066454 \n",
       "L 99.161941 75.928567 \n",
       "L 99.558558 85.796566 \n",
       "L 99.955174 43.376212 \n",
       "L 100.351791 38.436981 \n",
       "L 100.748408 55.519289 \n",
       "L 101.145024 47.333326 \n",
       "L 101.541641 58.442358 \n",
       "L 101.938258 52.646283 \n",
       "L 102.334874 51.856533 \n",
       "L 102.731491 30.529341 \n",
       "L 103.128108 49.558708 \n",
       "L 103.524724 43.442528 \n",
       "L 103.921341 60.433705 \n",
       "L 104.714574 30.155054 \n",
       "L 105.111191 52.128426 \n",
       "L 105.507808 31.453585 \n",
       "L 105.904425 49.665772 \n",
       "L 106.301041 48.645307 \n",
       "L 106.697658 39.012649 \n",
       "L 107.094275 62.525774 \n",
       "L 107.490891 43.371523 \n",
       "L 107.887508 31.518604 \n",
       "L 108.284125 63.774089 \n",
       "L 108.680741 49.345296 \n",
       "L 109.077358 45.797266 \n",
       "L 109.473975 62.589509 \n",
       "L 109.870591 33.130342 \n",
       "L 110.267208 59.541807 \n",
       "L 110.663825 35.779983 \n",
       "L 111.060441 67.036888 \n",
       "L 111.457058 35.268855 \n",
       "L 111.853675 58.612717 \n",
       "L 112.250291 40.58028 \n",
       "L 113.043525 80.151579 \n",
       "L 113.440141 84.906693 \n",
       "L 113.836758 48.397889 \n",
       "L 114.233375 114.882724 \n",
       "L 114.629991 39.449708 \n",
       "L 115.026608 76.847925 \n",
       "L 115.423225 97.466352 \n",
       "L 115.819841 67.748736 \n",
       "L 116.216458 48.648098 \n",
       "L 116.613075 44.422243 \n",
       "L 117.406308 77.428717 \n",
       "L 117.802925 49.091174 \n",
       "L 118.199541 68.723016 \n",
       "L 118.596158 43.757573 \n",
       "L 118.992775 54.576807 \n",
       "L 119.389391 48.445739 \n",
       "L 119.786008 73.463418 \n",
       "L 120.182625 40.386486 \n",
       "L 120.579241 40.741962 \n",
       "L 120.975858 61.052684 \n",
       "L 121.372475 69.193214 \n",
       "L 121.769092 33.875301 \n",
       "L 122.165708 86.517302 \n",
       "L 122.562325 59.820193 \n",
       "L 122.958942 57.837922 \n",
       "L 123.355558 45.680813 \n",
       "L 123.752175 49.337037 \n",
       "L 124.148792 49.353395 \n",
       "L 124.545408 33.178626 \n",
       "L 124.942025 61.343784 \n",
       "L 125.338642 62.068551 \n",
       "L 125.735258 34.481046 \n",
       "L 126.131875 108.394837 \n",
       "L 126.528492 43.182681 \n",
       "L 126.925108 53.394145 \n",
       "L 127.321725 50.970032 \n",
       "L 127.718342 53.280941 \n",
       "L 128.114958 35.85135 \n",
       "L 128.511575 90.152922 \n",
       "L 128.908192 38.880965 \n",
       "L 129.304808 56.539357 \n",
       "L 129.701425 53.953744 \n",
       "L 130.098042 74.16182 \n",
       "L 130.494658 42.268355 \n",
       "L 131.287892 62.723046 \n",
       "L 131.684508 91.491875 \n",
       "L 132.081125 84.415461 \n",
       "L 132.477742 54.302431 \n",
       "L 132.874358 50.327683 \n",
       "L 133.270975 79.12426 \n",
       "L 133.667592 38.712441 \n",
       "L 134.064208 61.762588 \n",
       "L 134.460825 59.247966 \n",
       "L 134.857442 63.557112 \n",
       "L 135.254058 33.014032 \n",
       "L 135.650675 80.0132 \n",
       "L 136.047292 40.89865 \n",
       "L 136.443908 44.034523 \n",
       "L 136.840525 59.939265 \n",
       "L 137.237142 39.376568 \n",
       "L 137.633759 46.681079 \n",
       "L 138.030375 61.993985 \n",
       "L 138.426992 60.059586 \n",
       "L 138.823609 48.439026 \n",
       "L 139.220225 54.425384 \n",
       "L 139.616842 71.926967 \n",
       "L 140.013459 48.397803 \n",
       "L 140.410075 34.111721 \n",
       "L 140.806692 66.308776 \n",
       "L 141.203309 58.140501 \n",
       "L 141.599925 57.94259 \n",
       "L 142.393159 87.401422 \n",
       "L 142.789775 49.401501 \n",
       "L 143.186392 46.475646 \n",
       "L 143.583009 56.867339 \n",
       "L 143.979625 33.183218 \n",
       "L 144.376242 64.849621 \n",
       "L 144.772859 81.078386 \n",
       "L 145.169475 86.954148 \n",
       "L 145.566092 54.331616 \n",
       "L 145.962709 40.502208 \n",
       "L 146.359325 51.78734 \n",
       "L 146.755942 46.439176 \n",
       "L 147.152559 52.219936 \n",
       "L 147.549175 31.552571 \n",
       "L 148.342409 75.9422 \n",
       "L 148.739025 66.389734 \n",
       "L 149.135642 41.757974 \n",
       "L 149.532259 84.333876 \n",
       "L 149.928875 51.360418 \n",
       "L 150.325492 44.001044 \n",
       "L 150.722109 59.656396 \n",
       "L 151.118725 69.465709 \n",
       "L 151.515342 65.520235 \n",
       "L 151.911959 47.325874 \n",
       "L 152.308575 72.588424 \n",
       "L 152.705192 48.614853 \n",
       "L 153.101809 33.485062 \n",
       "L 153.498426 100.665979 \n",
       "L 153.895042 58.331719 \n",
       "L 154.291659 46.991688 \n",
       "L 154.688276 55.978447 \n",
       "L 155.084892 35.777865 \n",
       "L 155.481509 50.931733 \n",
       "L 155.878126 51.910991 \n",
       "L 156.274742 58.546662 \n",
       "L 156.671359 50.446014 \n",
       "L 157.067976 97.83703 \n",
       "L 157.464592 45.533479 \n",
       "L 157.861209 55.191462 \n",
       "L 158.257826 56.697382 \n",
       "L 158.654442 83.533545 \n",
       "L 159.051059 47.411916 \n",
       "L 159.447676 34.062703 \n",
       "L 159.844292 55.877121 \n",
       "L 160.240909 181.078125 \n",
       "L 160.637526 50.936753 \n",
       "L 161.430759 58.577711 \n",
       "L 161.827376 34.342841 \n",
       "L 162.223992 61.562377 \n",
       "L 162.620609 29.878125 \n",
       "L 163.017226 60.103632 \n",
       "L 163.413842 62.758293 \n",
       "L 163.810459 57.549229 \n",
       "L 164.207076 56.236165 \n",
       "L 164.603692 33.895569 \n",
       "L 165.000309 64.703682 \n",
       "L 165.793542 36.619183 \n",
       "L 166.190159 79.478414 \n",
       "L 166.586776 41.504899 \n",
       "L 166.983392 45.091082 \n",
       "L 167.380009 88.802728 \n",
       "L 167.776626 69.42799 \n",
       "L 168.173242 71.196764 \n",
       "L 168.569859 45.556564 \n",
       "L 169.363093 110.948577 \n",
       "L 169.759709 73.017545 \n",
       "L 170.552943 39.027951 \n",
       "L 170.949559 96.558683 \n",
       "L 171.346176 38.134723 \n",
       "L 171.742793 61.266157 \n",
       "L 172.139409 45.048908 \n",
       "L 172.536026 41.796994 \n",
       "L 172.932643 67.337573 \n",
       "L 173.329259 50.296348 \n",
       "L 173.725876 50.277763 \n",
       "L 174.122493 52.972561 \n",
       "L 174.519109 32.72869 \n",
       "L 174.915726 48.920415 \n",
       "L 175.312343 33.153476 \n",
       "L 175.708959 70.673644 \n",
       "L 176.105576 32.794879 \n",
       "L 176.502193 56.396965 \n",
       "L 176.898809 130.738615 \n",
       "L 177.295426 48.304101 \n",
       "L 177.692043 47.058831 \n",
       "L 178.088659 130.738615 \n",
       "L 178.485276 46.925868 \n",
       "L 178.881893 47.463997 \n",
       "L 179.278509 130.738615 \n",
       "L 179.675126 47.601198 \n",
       "L 180.071743 47.058831 \n",
       "L 180.468359 130.738615 \n",
       "L 180.864976 46.925868 \n",
       "L 181.261593 47.463997 \n",
       "L 181.658209 130.738615 \n",
       "L 182.054826 47.601198 \n",
       "L 182.451443 47.058831 \n",
       "L 182.848059 130.738615 \n",
       "L 183.244676 46.925868 \n",
       "L 183.641293 47.463997 \n",
       "L 184.037909 130.738615 \n",
       "L 184.434526 47.601198 \n",
       "L 184.831143 47.058831 \n",
       "L 185.22776 130.738615 \n",
       "L 185.624376 46.925868 \n",
       "L 186.020993 47.463997 \n",
       "L 186.41761 130.738615 \n",
       "L 186.814226 47.601198 \n",
       "L 187.210843 47.058831 \n",
       "L 187.60746 130.738615 \n",
       "L 188.004076 46.925868 \n",
       "L 188.400693 47.463997 \n",
       "L 188.79731 130.738615 \n",
       "L 189.193926 47.601198 \n",
       "L 189.590543 47.058831 \n",
       "L 189.98716 130.738615 \n",
       "L 190.383776 46.925868 \n",
       "L 190.780393 47.463997 \n",
       "L 191.17701 130.738615 \n",
       "L 191.573626 47.601198 \n",
       "L 191.970243 47.058831 \n",
       "L 192.36686 130.738615 \n",
       "L 192.763476 46.925868 \n",
       "L 193.160093 47.463997 \n",
       "L 193.55671 130.738615 \n",
       "L 193.953326 47.601198 \n",
       "L 194.349943 47.058831 \n",
       "L 194.74656 130.738615 \n",
       "L 195.143176 46.925868 \n",
       "L 195.539793 47.463997 \n",
       "L 195.93641 130.738615 \n",
       "L 196.333026 47.601198 \n",
       "L 196.729643 47.058831 \n",
       "L 197.12626 130.738615 \n",
       "L 197.522876 46.925868 \n",
       "L 197.919493 47.463997 \n",
       "L 198.31611 130.738615 \n",
       "L 198.712726 47.601198 \n",
       "L 199.109343 47.058831 \n",
       "L 199.50596 130.738615 \n",
       "L 199.902576 46.925868 \n",
       "L 200.299193 47.463997 \n",
       "L 200.69581 130.738615 \n",
       "L 201.092427 47.601198 \n",
       "L 201.489043 47.058831 \n",
       "L 201.88566 130.738615 \n",
       "L 202.282277 46.925868 \n",
       "L 202.678893 47.463997 \n",
       "L 203.07551 130.738615 \n",
       "L 203.472127 47.601198 \n",
       "L 203.868743 47.058831 \n",
       "L 204.26536 130.738615 \n",
       "L 204.661977 46.925868 \n",
       "L 205.058593 47.463997 \n",
       "L 205.45521 130.738615 \n",
       "L 205.851827 47.601198 \n",
       "L 206.248443 47.058831 \n",
       "L 206.64506 130.738615 \n",
       "L 207.041677 46.925868 \n",
       "L 207.438293 47.463997 \n",
       "L 207.83491 130.738615 \n",
       "L 208.231527 47.601198 \n",
       "L 208.628143 47.058831 \n",
       "L 209.02476 130.738615 \n",
       "L 209.421377 46.925868 \n",
       "L 209.817993 47.463997 \n",
       "L 210.21461 130.738615 \n",
       "L 210.611227 47.601198 \n",
       "L 211.007843 47.058831 \n",
       "L 211.40446 130.738615 \n",
       "L 211.801077 46.925868 \n",
       "L 212.197693 47.463997 \n",
       "L 212.59431 130.738615 \n",
       "L 212.990927 47.601198 \n",
       "L 213.387543 47.058831 \n",
       "L 213.78416 130.738615 \n",
       "L 214.180777 46.925868 \n",
       "L 214.577393 47.463997 \n",
       "L 214.97401 130.738615 \n",
       "L 215.370627 47.601198 \n",
       "L 215.767243 47.058831 \n",
       "L 216.16386 130.738615 \n",
       "L 216.560477 46.925868 \n",
       "L 216.957093 47.463997 \n",
       "L 217.35371 130.738615 \n",
       "L 217.750327 47.601198 \n",
       "L 218.146944 47.058831 \n",
       "L 218.54356 130.738615 \n",
       "L 218.940177 46.925868 \n",
       "L 219.336794 47.463997 \n",
       "L 219.73341 130.738615 \n",
       "L 220.130027 47.601198 \n",
       "L 220.526644 47.058831 \n",
       "L 220.92326 130.738615 \n",
       "L 221.319877 46.925868 \n",
       "L 221.716494 47.463997 \n",
       "L 222.11311 130.738615 \n",
       "L 222.509727 47.601198 \n",
       "L 222.906344 47.058831 \n",
       "L 223.30296 130.738615 \n",
       "L 223.699577 46.925868 \n",
       "L 224.096194 47.463997 \n",
       "L 224.49281 130.738615 \n",
       "L 224.889427 47.601198 \n",
       "L 225.286044 47.058831 \n",
       "L 225.68266 130.738615 \n",
       "L 226.079277 46.925868 \n",
       "L 226.475894 47.463997 \n",
       "L 226.87251 130.738615 \n",
       "L 227.269127 47.601198 \n",
       "L 227.665744 47.058831 \n",
       "L 228.06236 130.738615 \n",
       "L 228.458977 46.925868 \n",
       "L 228.855594 47.463997 \n",
       "L 229.25221 130.738615 \n",
       "L 229.648827 47.601198 \n",
       "L 230.045444 47.058831 \n",
       "L 230.44206 130.738615 \n",
       "L 230.838677 46.925868 \n",
       "L 231.235294 47.463997 \n",
       "L 231.63191 130.738615 \n",
       "L 232.028527 47.601198 \n",
       "L 232.425144 47.058831 \n",
       "L 232.82176 130.738615 \n",
       "L 233.218377 46.925868 \n",
       "L 233.614994 47.463997 \n",
       "L 234.011611 130.738615 \n",
       "L 234.408227 47.601198 \n",
       "L 234.804844 47.058831 \n",
       "L 235.201461 130.738615 \n",
       "L 235.598077 46.925868 \n",
       "L 235.994694 47.463997 \n",
       "L 236.391311 130.738615 \n",
       "L 236.787927 47.601198 \n",
       "L 237.184544 47.058831 \n",
       "L 237.581161 130.738615 \n",
       "L 237.977777 46.925868 \n",
       "L 238.374394 47.463997 \n",
       "L 238.771011 130.738615 \n",
       "L 239.167627 47.601198 \n",
       "L 239.564244 47.058831 \n",
       "L 239.960861 130.738615 \n",
       "L 240.357477 46.925868 \n",
       "L 240.754094 47.463997 \n",
       "L 241.150711 130.738615 \n",
       "L 241.547327 47.601198 \n",
       "L 241.943944 47.058831 \n",
       "L 242.340561 130.738615 \n",
       "L 242.737177 46.925868 \n",
       "L 243.133794 47.463997 \n",
       "L 243.530411 130.738615 \n",
       "L 243.927027 47.601198 \n",
       "L 244.323644 47.058831 \n",
       "L 244.720261 130.738615 \n",
       "L 245.116877 46.925868 \n",
       "L 245.513494 47.463997 \n",
       "L 245.910111 130.738615 \n",
       "L 246.306727 47.601198 \n",
       "L 246.703344 47.058831 \n",
       "L 247.099961 130.738615 \n",
       "L 247.496577 46.925868 \n",
       "L 247.893194 47.463997 \n",
       "L 248.289811 130.738615 \n",
       "L 248.686427 47.601198 \n",
       "L 249.083044 47.058831 \n",
       "L 249.479661 130.738615 \n",
       "L 249.876278 46.925868 \n",
       "L 250.272894 47.463997 \n",
       "L 250.669511 130.738615 \n",
       "L 251.066128 47.601198 \n",
       "L 251.462744 47.058831 \n",
       "L 251.859361 130.738615 \n",
       "L 252.255978 46.925868 \n",
       "L 252.652594 47.463997 \n",
       "L 253.049211 130.738615 \n",
       "L 253.445828 47.601198 \n",
       "L 253.842444 47.058831 \n",
       "L 254.239061 130.738615 \n",
       "L 254.635678 46.925868 \n",
       "L 255.032294 47.463997 \n",
       "L 255.428911 130.738615 \n",
       "L 255.825528 47.601198 \n",
       "L 256.222144 47.058831 \n",
       "L 256.618761 130.738615 \n",
       "L 257.015378 46.925868 \n",
       "L 257.411994 47.463997 \n",
       "L 257.808611 130.738615 \n",
       "L 258.205228 47.601198 \n",
       "L 258.601844 47.058831 \n",
       "L 258.998461 130.738615 \n",
       "L 259.395078 46.925868 \n",
       "L 259.791694 47.463997 \n",
       "L 260.188311 130.738615 \n",
       "L 260.584928 47.601198 \n",
       "L 260.981544 47.058831 \n",
       "L 261.378161 130.738615 \n",
       "L 261.774778 46.925868 \n",
       "L 262.171394 47.463997 \n",
       "L 262.568011 130.738615 \n",
       "L 262.964628 47.601198 \n",
       "L 263.361244 47.058831 \n",
       "L 263.757861 130.738615 \n",
       "L 264.154478 46.925868 \n",
       "L 264.551094 47.463997 \n",
       "L 264.947711 130.738615 \n",
       "L 265.344328 47.601198 \n",
       "L 265.740945 47.058831 \n",
       "L 266.137561 130.738615 \n",
       "L 266.534178 46.925868 \n",
       "L 266.930795 47.463997 \n",
       "L 267.327411 130.738615 \n",
       "L 267.724028 47.601198 \n",
       "L 268.120645 47.058831 \n",
       "L 268.517261 130.738615 \n",
       "L 268.913878 46.925868 \n",
       "L 269.310495 47.463997 \n",
       "L 269.707111 130.738615 \n",
       "L 270.103728 47.601198 \n",
       "L 270.500345 47.058831 \n",
       "L 270.896961 130.738615 \n",
       "L 271.293578 46.925868 \n",
       "L 271.690195 47.463997 \n",
       "L 272.086811 130.738615 \n",
       "L 272.483428 47.601198 \n",
       "L 272.880045 47.058831 \n",
       "L 273.276661 130.738615 \n",
       "L 273.673278 46.925868 \n",
       "L 274.069895 47.463997 \n",
       "L 274.466511 130.738615 \n",
       "L 274.863128 47.601198 \n",
       "L 275.259745 47.058831 \n",
       "L 275.656361 130.738615 \n",
       "L 276.052978 46.925868 \n",
       "L 276.449595 47.463997 \n",
       "L 276.846211 130.738615 \n",
       "L 277.242828 47.601198 \n",
       "L 277.639445 47.058831 \n",
       "L 278.036061 130.738615 \n",
       "L 278.432678 46.925868 \n",
       "L 278.829295 47.463997 \n",
       "L 279.225911 130.738615 \n",
       "L 279.622528 47.601198 \n",
       "L 280.019145 47.058831 \n",
       "L 280.415761 130.738615 \n",
       "L 280.812378 46.925868 \n",
       "L 281.208995 47.463997 \n",
       "L 281.605612 130.738615 \n",
       "L 282.002228 47.601198 \n",
       "L 282.398845 47.058831 \n",
       "L 282.795462 130.738615 \n",
       "L 283.192078 46.925868 \n",
       "L 283.588695 47.463997 \n",
       "L 283.985312 130.738615 \n",
       "L 284.381928 47.601198 \n",
       "L 284.778545 47.058831 \n",
       "L 285.175162 130.738615 \n",
       "L 285.571778 46.925868 \n",
       "L 285.968395 47.463997 \n",
       "L 286.365012 130.738615 \n",
       "L 286.761628 47.601198 \n",
       "L 287.158245 47.058831 \n",
       "L 287.554862 130.738615 \n",
       "L 287.951478 46.925868 \n",
       "L 288.348095 47.463997 \n",
       "L 288.744712 130.738615 \n",
       "L 289.141328 47.601198 \n",
       "L 289.537945 47.058831 \n",
       "L 289.934562 130.738615 \n",
       "L 290.331178 46.925868 \n",
       "L 290.727795 47.463997 \n",
       "L 291.124412 130.738615 \n",
       "L 291.521028 47.601198 \n",
       "L 291.917645 47.058831 \n",
       "L 292.314262 130.738615 \n",
       "L 292.710878 46.925868 \n",
       "L 293.107495 47.463997 \n",
       "L 293.504112 130.738615 \n",
       "L 293.900728 47.601198 \n",
       "L 294.297345 47.058831 \n",
       "L 294.693962 130.738615 \n",
       "L 295.090578 46.925868 \n",
       "L 295.487195 47.463997 \n",
       "L 295.883812 130.738615 \n",
       "L 296.280428 47.601198 \n",
       "L 296.677045 47.058831 \n",
       "L 297.073662 130.738615 \n",
       "L 297.470279 46.925868 \n",
       "L 297.866895 47.463997 \n",
       "L 298.263512 130.738615 \n",
       "L 298.660129 47.601198 \n",
       "L 299.056745 47.058831 \n",
       "L 299.453362 130.738615 \n",
       "L 299.849979 46.925868 \n",
       "L 300.246595 47.463997 \n",
       "L 300.643212 130.738615 \n",
       "L 301.039829 47.601198 \n",
       "L 301.436445 47.058831 \n",
       "L 301.833062 130.738615 \n",
       "L 302.229679 46.925868 \n",
       "L 302.626295 47.463997 \n",
       "L 303.022912 130.738615 \n",
       "L 303.419529 47.601198 \n",
       "L 303.816145 47.058831 \n",
       "L 304.212762 130.738615 \n",
       "L 304.609379 46.925868 \n",
       "L 305.005995 47.463997 \n",
       "L 305.402612 130.738615 \n",
       "L 305.799229 47.601198 \n",
       "L 306.195845 47.058831 \n",
       "L 306.592462 130.738615 \n",
       "L 306.989079 46.925868 \n",
       "L 307.385695 47.463997 \n",
       "L 307.782312 130.738615 \n",
       "L 308.178929 47.601198 \n",
       "L 308.575545 47.058831 \n",
       "L 308.972162 130.738615 \n",
       "L 309.368779 46.925868 \n",
       "L 309.765395 47.463997 \n",
       "L 310.162012 130.738615 \n",
       "L 310.558629 47.601198 \n",
       "L 310.955245 47.058831 \n",
       "L 311.351862 130.738615 \n",
       "L 311.748479 46.925868 \n",
       "L 312.145095 47.463997 \n",
       "L 312.541712 130.738615 \n",
       "L 312.938329 47.601198 \n",
       "L 313.334946 47.058831 \n",
       "L 313.731562 130.738615 \n",
       "L 314.128179 46.925868 \n",
       "L 314.524796 47.463997 \n",
       "L 314.921412 130.738615 \n",
       "L 315.318029 47.601198 \n",
       "L 315.714646 47.058831 \n",
       "L 316.111262 130.738615 \n",
       "L 316.507879 46.925868 \n",
       "L 316.904496 47.463997 \n",
       "L 317.301112 130.738615 \n",
       "L 317.697729 47.601198 \n",
       "L 318.094346 47.058831 \n",
       "L 318.490962 130.738615 \n",
       "L 318.887579 46.925868 \n",
       "L 319.284196 47.463997 \n",
       "L 319.680812 130.738615 \n",
       "L 320.077429 47.601198 \n",
       "L 320.474046 47.058831 \n",
       "L 320.870662 130.738615 \n",
       "L 321.267279 46.925868 \n",
       "L 321.663896 47.463997 \n",
       "L 322.060512 130.738615 \n",
       "L 322.457129 47.601198 \n",
       "L 322.853746 47.058831 \n",
       "L 323.250362 130.738615 \n",
       "L 323.646979 46.925868 \n",
       "L 324.043596 47.463997 \n",
       "L 324.440212 130.738615 \n",
       "L 324.836829 47.601198 \n",
       "L 325.233446 47.058831 \n",
       "L 325.630062 130.738615 \n",
       "L 326.026679 46.925868 \n",
       "L 326.423296 47.463997 \n",
       "L 326.819912 130.738615 \n",
       "L 327.216529 47.601198 \n",
       "L 327.613146 47.058831 \n",
       "L 328.009762 130.738615 \n",
       "L 328.406379 46.925868 \n",
       "L 328.802996 47.463997 \n",
       "L 329.199613 130.738615 \n",
       "L 329.596229 47.601198 \n",
       "L 329.992846 47.058831 \n",
       "L 330.389463 130.738615 \n",
       "L 330.786079 46.925868 \n",
       "L 331.182696 47.463997 \n",
       "L 331.579313 130.738615 \n",
       "L 331.975929 47.601198 \n",
       "L 332.372546 47.058831 \n",
       "L 332.769163 130.738615 \n",
       "L 333.165779 46.925868 \n",
       "L 333.562396 47.463997 \n",
       "L 333.959013 130.738615 \n",
       "L 334.355629 47.601198 \n",
       "L 334.752246 47.058831 \n",
       "L 335.148863 130.738615 \n",
       "L 335.545479 46.925868 \n",
       "L 335.942096 47.463997 \n",
       "L 336.338713 130.738615 \n",
       "L 336.735329 47.601198 \n",
       "L 337.131946 47.058831 \n",
       "L 337.528563 130.738615 \n",
       "L 337.925179 46.925868 \n",
       "L 338.321796 47.463997 \n",
       "L 338.718413 130.738615 \n",
       "L 339.115029 47.601198 \n",
       "L 339.511646 47.058831 \n",
       "L 339.908263 130.738615 \n",
       "L 340.304879 46.925868 \n",
       "L 340.701496 47.463997 \n",
       "L 341.098113 130.738615 \n",
       "L 341.494729 47.601198 \n",
       "L 341.891346 47.058831 \n",
       "L 342.287963 130.738615 \n",
       "L 342.684579 46.925868 \n",
       "L 343.081196 47.463997 \n",
       "L 343.477813 130.738615 \n",
       "L 343.874429 47.601198 \n",
       "L 344.271046 47.058831 \n",
       "L 344.667663 130.738615 \n",
       "L 345.06428 46.925868 \n",
       "L 345.460896 47.463997 \n",
       "L 345.857513 130.738615 \n",
       "L 346.25413 47.601198 \n",
       "L 346.650746 47.058831 \n",
       "L 347.047363 130.738615 \n",
       "L 347.44398 46.925868 \n",
       "L 347.840596 47.463997 \n",
       "L 348.237213 130.738615 \n",
       "L 348.63383 47.601198 \n",
       "L 349.030446 47.058831 \n",
       "L 349.427063 130.738615 \n",
       "L 349.82368 46.925868 \n",
       "L 350.220296 47.463997 \n",
       "L 350.616913 130.738615 \n",
       "L 351.01353 47.601198 \n",
       "L 351.410146 47.058831 \n",
       "L 351.806763 130.738615 \n",
       "L 352.20338 46.925868 \n",
       "L 352.599996 47.463997 \n",
       "L 352.996613 130.738615 \n",
       "L 353.39323 47.601198 \n",
       "L 353.789846 47.058831 \n",
       "L 354.186463 130.738615 \n",
       "L 354.58308 46.925868 \n",
       "L 354.979696 47.463997 \n",
       "L 355.376313 130.738615 \n",
       "L 355.77293 47.601198 \n",
       "L 356.169546 47.058831 \n",
       "L 356.566163 130.738615 \n",
       "L 356.96278 46.925868 \n",
       "L 357.359396 47.463997 \n",
       "L 357.756013 130.738615 \n",
       "L 358.15263 47.601198 \n",
       "L 358.549246 47.058831 \n",
       "L 358.945863 130.738615 \n",
       "L 359.34248 46.925868 \n",
       "L 359.739096 47.463997 \n",
       "L 360.135713 130.738615 \n",
       "L 360.53233 47.601198 \n",
       "L 360.928947 47.058831 \n",
       "L 361.325563 130.738615 \n",
       "L 361.72218 46.925868 \n",
       "L 362.118797 47.463997 \n",
       "L 362.515413 130.738615 \n",
       "L 362.91203 47.601198 \n",
       "L 363.308647 47.058831 \n",
       "L 363.705263 130.738615 \n",
       "L 364.10188 46.925868 \n",
       "L 364.498497 47.463997 \n",
       "L 364.895113 130.738615 \n",
       "L 365.29173 47.601198 \n",
       "L 365.688347 47.058831 \n",
       "L 366.084963 130.738615 \n",
       "L 366.48158 46.925868 \n",
       "L 366.878197 47.463997 \n",
       "L 367.274813 130.738615 \n",
       "L 367.67143 47.601198 \n",
       "L 368.068047 47.058831 \n",
       "L 368.464663 130.738615 \n",
       "L 368.86128 46.925868 \n",
       "L 369.257897 47.463997 \n",
       "L 369.654513 130.738615 \n",
       "L 370.05113 47.601198 \n",
       "L 370.447747 47.058831 \n",
       "L 370.844363 130.738615 \n",
       "L 371.24098 46.925868 \n",
       "L 371.637597 47.463997 \n",
       "L 372.034213 130.738615 \n",
       "L 372.43083 47.601198 \n",
       "L 372.827447 47.058831 \n",
       "L 373.224063 130.738615 \n",
       "L 373.62068 46.925868 \n",
       "L 374.017297 47.463997 \n",
       "L 374.413913 130.738615 \n",
       "L 374.81053 47.601198 \n",
       "L 375.207147 47.058831 \n",
       "L 375.603763 130.738615 \n",
       "L 376.00038 46.925868 \n",
       "L 376.396997 47.463997 \n",
       "L 376.793614 130.738615 \n",
       "L 377.19023 47.601198 \n",
       "L 377.586847 47.058831 \n",
       "L 377.983464 130.738615 \n",
       "L 378.38008 46.925868 \n",
       "L 378.776697 47.463997 \n",
       "L 379.173314 130.738615 \n",
       "L 379.56993 47.601198 \n",
       "L 379.966547 47.058831 \n",
       "L 380.363164 130.738615 \n",
       "L 380.75978 46.925868 \n",
       "L 381.156397 47.463997 \n",
       "L 381.553014 130.738615 \n",
       "L 381.94963 47.601198 \n",
       "L 382.346247 47.058831 \n",
       "L 382.742864 130.738615 \n",
       "L 383.13948 46.925868 \n",
       "L 383.536097 47.463997 \n",
       "L 383.932714 130.738615 \n",
       "L 384.32933 47.601198 \n",
       "L 384.725947 47.058831 \n",
       "L 385.122564 130.738615 \n",
       "L 385.51918 46.925868 \n",
       "L 385.915797 47.463997 \n",
       "L 386.312414 130.738615 \n",
       "L 386.70903 47.601198 \n",
       "L 387.105647 47.058831 \n",
       "L 387.502264 130.738615 \n",
       "L 387.89888 46.925868 \n",
       "L 388.295497 47.463997 \n",
       "L 388.692114 130.738615 \n",
       "L 389.08873 47.601198 \n",
       "L 389.485347 47.058831 \n",
       "L 389.881964 130.738615 \n",
       "L 390.27858 46.925868 \n",
       "L 390.675197 47.463997 \n",
       "L 391.071814 130.738615 \n",
       "L 391.46843 47.601198 \n",
       "L 391.865047 47.058831 \n",
       "L 392.261664 130.738615 \n",
       "L 392.658281 46.925868 \n",
       "L 393.054897 47.463997 \n",
       "L 393.451514 130.738615 \n",
       "L 393.848131 47.601198 \n",
       "L 394.244747 47.058831 \n",
       "L 394.641364 130.738615 \n",
       "L 395.037981 46.925868 \n",
       "L 395.434597 47.463997 \n",
       "L 395.831214 130.738615 \n",
       "L 396.227831 47.601198 \n",
       "L 396.624447 47.058831 \n",
       "L 397.021064 130.738615 \n",
       "L 397.417681 46.925868 \n",
       "L 397.814297 47.463997 \n",
       "L 398.210914 130.738615 \n",
       "L 398.607531 47.601198 \n",
       "L 399.004147 47.058831 \n",
       "L 399.400764 130.738615 \n",
       "L 399.797381 46.925868 \n",
       "L 400.193997 47.463997 \n",
       "L 400.590614 130.738615 \n",
       "L 400.987231 47.601198 \n",
       "L 401.383847 47.058831 \n",
       "L 401.780464 130.738615 \n",
       "L 402.177081 46.925868 \n",
       "L 402.573697 47.463997 \n",
       "L 402.970314 130.738615 \n",
       "L 403.366931 47.601198 \n",
       "L 403.763547 47.058831 \n",
       "L 404.160164 130.738615 \n",
       "L 404.556781 46.925868 \n",
       "L 404.953397 47.463997 \n",
       "L 405.350014 130.738615 \n",
       "L 405.746631 47.601198 \n",
       "L 406.143247 47.058831 \n",
       "L 406.539864 130.738615 \n",
       "L 406.936481 46.925868 \n",
       "L 407.333097 47.463997 \n",
       "L 407.729714 130.738615 \n",
       "L 408.126331 47.601198 \n",
       "L 408.522948 47.058831 \n",
       "L 408.919564 130.738615 \n",
       "L 409.316181 46.925868 \n",
       "L 409.712798 47.463997 \n",
       "L 410.109414 130.738615 \n",
       "L 410.506031 47.601198 \n",
       "L 410.902648 47.058831 \n",
       "L 411.299264 130.738615 \n",
       "L 411.695881 46.925868 \n",
       "L 412.092498 47.463997 \n",
       "L 412.489114 130.738615 \n",
       "L 412.885731 47.601198 \n",
       "L 413.282348 47.058831 \n",
       "L 413.678964 130.738615 \n",
       "L 414.075581 46.925868 \n",
       "L 414.472198 47.463997 \n",
       "L 414.868814 130.738615 \n",
       "L 415.265431 47.601198 \n",
       "L 415.662048 47.058831 \n",
       "L 416.058664 130.738615 \n",
       "L 416.455281 46.925868 \n",
       "L 416.851898 47.463997 \n",
       "L 417.248514 130.738615 \n",
       "L 417.645131 47.601198 \n",
       "L 418.041748 47.058831 \n",
       "L 418.438364 130.738615 \n",
       "L 418.834981 46.925868 \n",
       "L 419.231598 47.463997 \n",
       "L 419.628214 130.738615 \n",
       "L 420.024831 47.601198 \n",
       "L 420.421448 47.058831 \n",
       "L 420.818064 130.738615 \n",
       "L 421.214681 46.925868 \n",
       "L 421.611298 47.463997 \n",
       "L 422.007914 130.738615 \n",
       "L 422.404531 47.601198 \n",
       "L 422.801148 47.058831 \n",
       "L 423.197764 130.738615 \n",
       "L 423.594381 46.925868 \n",
       "L 423.990998 47.463997 \n",
       "L 424.387615 130.738615 \n",
       "L 424.784231 47.601198 \n",
       "L 425.180848 47.058831 \n",
       "L 425.577465 130.738615 \n",
       "L 425.974081 46.925868 \n",
       "L 426.370698 47.463997 \n",
       "L 426.767315 130.738615 \n",
       "L 427.163931 47.601198 \n",
       "L 427.560548 47.058831 \n",
       "L 427.957165 130.738615 \n",
       "L 428.353781 46.925868 \n",
       "L 428.750398 47.463997 \n",
       "L 429.147015 130.738615 \n",
       "L 429.543631 47.601198 \n",
       "L 429.940248 47.058831 \n",
       "L 430.336865 130.738615 \n",
       "L 430.733481 46.925868 \n",
       "L 431.130098 47.463997 \n",
       "L 431.526715 130.738615 \n",
       "L 431.923331 47.601198 \n",
       "L 432.319948 47.058831 \n",
       "L 432.716565 130.738615 \n",
       "L 433.113181 46.925868 \n",
       "L 433.509798 47.463997 \n",
       "L 433.906415 130.738615 \n",
       "L 434.303031 47.601198 \n",
       "L 434.699648 47.058831 \n",
       "L 435.096265 130.738615 \n",
       "L 435.492881 46.925868 \n",
       "L 435.889498 47.463997 \n",
       "L 436.286115 130.738615 \n",
       "L 436.682731 47.601198 \n",
       "L 437.079348 47.058831 \n",
       "L 437.475965 130.738615 \n",
       "L 437.872581 46.925868 \n",
       "L 438.269198 47.463997 \n",
       "L 438.665815 130.738615 \n",
       "L 439.062431 47.601198 \n",
       "L 439.459048 47.058831 \n",
       "L 439.855665 130.738615 \n",
       "L 440.252282 46.925868 \n",
       "L 440.648898 47.463997 \n",
       "L 441.045515 130.738615 \n",
       "L 441.442132 47.601198 \n",
       "L 441.838748 47.058831 \n",
       "L 442.235365 130.738615 \n",
       "L 442.631982 46.925868 \n",
       "L 443.028598 47.463997 \n",
       "L 443.425215 130.738615 \n",
       "L 443.821832 47.601198 \n",
       "L 444.218448 47.058831 \n",
       "L 444.615065 130.738615 \n",
       "L 445.011682 46.925868 \n",
       "L 445.408298 47.463997 \n",
       "L 445.804915 130.738615 \n",
       "L 446.201532 47.601198 \n",
       "L 446.598148 47.058831 \n",
       "L 446.994765 130.738615 \n",
       "L 447.391382 46.925868 \n",
       "L 447.787998 47.463997 \n",
       "L 448.184615 130.738615 \n",
       "L 448.581232 47.601198 \n",
       "L 448.977848 47.058831 \n",
       "L 449.374465 130.738615 \n",
       "L 449.771082 46.925868 \n",
       "L 450.167698 47.463997 \n",
       "L 450.564315 130.738615 \n",
       "L 450.960932 47.601198 \n",
       "L 451.357548 47.058831 \n",
       "L 451.754165 130.738615 \n",
       "L 452.150782 46.925868 \n",
       "L 452.547398 47.463997 \n",
       "L 452.944015 130.738615 \n",
       "L 453.340632 47.601198 \n",
       "L 453.737248 47.058831 \n",
       "L 454.133865 130.738615 \n",
       "L 454.530482 46.925868 \n",
       "L 454.927098 47.463997 \n",
       "L 455.323715 130.738615 \n",
       "L 455.720332 47.601198 \n",
       "L 456.116948 47.058831 \n",
       "L 456.513565 130.738615 \n",
       "L 456.910182 46.925868 \n",
       "L 457.306799 47.463997 \n",
       "L 457.703415 130.738615 \n",
       "L 458.100032 47.601198 \n",
       "L 458.496649 47.058831 \n",
       "L 458.893265 130.738615 \n",
       "L 459.289882 46.925868 \n",
       "L 459.686499 47.463997 \n",
       "L 460.083115 130.738615 \n",
       "L 460.479732 47.601198 \n",
       "L 460.876349 47.058831 \n",
       "L 461.272965 130.738615 \n",
       "L 461.669582 46.925868 \n",
       "L 462.066199 47.463997 \n",
       "L 462.462815 130.738615 \n",
       "L 462.859432 47.601198 \n",
       "L 463.256049 47.058831 \n",
       "L 463.652665 130.738615 \n",
       "L 464.049282 46.925868 \n",
       "L 464.445899 47.463997 \n",
       "L 464.842515 130.738615 \n",
       "L 465.239132 47.601198 \n",
       "L 465.635749 47.058831 \n",
       "L 466.032365 130.738615 \n",
       "L 466.428982 46.925868 \n",
       "L 466.825599 47.463997 \n",
       "L 467.222215 130.738615 \n",
       "L 467.618832 47.601198 \n",
       "L 468.015449 47.058831 \n",
       "L 468.412065 130.738615 \n",
       "L 468.808682 46.925868 \n",
       "L 469.205299 47.463997 \n",
       "L 469.601915 130.738615 \n",
       "L 469.998532 47.601198 \n",
       "L 470.395149 47.058831 \n",
       "L 470.791765 130.738615 \n",
       "L 471.188382 46.925868 \n",
       "L 471.584999 47.463997 \n",
       "L 471.981615 130.738615 \n",
       "L 472.378232 47.601198 \n",
       "L 472.774849 47.058831 \n",
       "L 473.171466 130.738615 \n",
       "L 473.568082 46.925868 \n",
       "L 473.964699 47.463997 \n",
       "L 474.361316 130.738615 \n",
       "L 474.757932 47.601198 \n",
       "L 475.154549 47.058831 \n",
       "L 475.551166 130.738615 \n",
       "L 475.947782 46.925868 \n",
       "L 476.344399 47.463997 \n",
       "L 476.741016 130.738615 \n",
       "L 477.137632 47.601198 \n",
       "L 477.534249 47.058831 \n",
       "L 477.930866 130.738615 \n",
       "L 478.327482 46.925868 \n",
       "L 478.724099 47.463997 \n",
       "L 479.120716 130.738615 \n",
       "L 479.517332 47.601198 \n",
       "L 479.913949 47.058831 \n",
       "L 480.310566 130.738615 \n",
       "L 480.707182 46.925868 \n",
       "L 481.103799 47.463997 \n",
       "L 481.500416 130.738615 \n",
       "L 481.897032 47.601198 \n",
       "L 482.293649 47.058831 \n",
       "L 482.690266 130.738615 \n",
       "L 483.086882 46.925868 \n",
       "L 483.483499 47.463997 \n",
       "L 483.880116 130.738615 \n",
       "L 484.276732 47.601198 \n",
       "L 484.673349 47.058831 \n",
       "L 485.069966 130.738615 \n",
       "L 485.466582 46.925868 \n",
       "L 485.863199 47.463997 \n",
       "L 486.259816 130.738615 \n",
       "L 486.656432 47.601198 \n",
       "L 487.053049 47.058831 \n",
       "L 487.449666 130.738615 \n",
       "L 487.846282 46.925868 \n",
       "L 488.242899 47.463997 \n",
       "L 488.639516 130.738615 \n",
       "L 489.036133 47.601198 \n",
       "L 489.432749 47.058831 \n",
       "L 489.829366 130.738615 \n",
       "L 490.225983 46.925868 \n",
       "L 490.622599 47.463997 \n",
       "L 491.019216 130.738615 \n",
       "L 491.415833 47.601198 \n",
       "L 491.812449 47.058831 \n",
       "L 492.209066 130.738615 \n",
       "L 492.605683 46.925868 \n",
       "L 493.002299 47.463997 \n",
       "L 493.398916 130.738615 \n",
       "L 493.795533 47.601198 \n",
       "L 494.192149 47.058831 \n",
       "L 494.588766 130.738615 \n",
       "L 494.985383 46.925868 \n",
       "L 495.381999 47.463997 \n",
       "L 495.778616 130.738615 \n",
       "L 496.175233 47.601198 \n",
       "L 496.571849 47.058831 \n",
       "L 496.968466 130.738615 \n",
       "L 497.365083 46.925868 \n",
       "L 497.761699 47.463997 \n",
       "L 498.158316 130.738615 \n",
       "L 498.554933 47.601198 \n",
       "L 498.951549 47.058831 \n",
       "L 499.348166 130.738615 \n",
       "L 499.744783 46.925868 \n",
       "L 500.141399 47.463997 \n",
       "L 500.538016 130.738615 \n",
       "L 500.934633 47.601198 \n",
       "L 501.331249 47.058831 \n",
       "L 501.727866 130.738615 \n",
       "L 502.124483 46.925868 \n",
       "L 502.521099 47.463997 \n",
       "L 502.917716 130.738615 \n",
       "L 503.314333 47.601198 \n",
       "L 503.710949 47.058831 \n",
       "L 504.107566 130.738615 \n",
       "L 504.504183 46.925868 \n",
       "L 504.9008 47.463997 \n",
       "L 505.297416 130.738615 \n",
       "L 505.694033 47.601198 \n",
       "L 506.09065 47.058831 \n",
       "L 506.487266 130.738615 \n",
       "L 506.883883 46.925868 \n",
       "L 507.2805 47.463997 \n",
       "L 507.677116 130.738615 \n",
       "L 508.073733 47.601198 \n",
       "L 508.47035 47.058831 \n",
       "L 508.866966 130.738615 \n",
       "L 509.263583 46.925868 \n",
       "L 509.6602 47.463997 \n",
       "L 510.056816 130.738615 \n",
       "L 510.453433 47.601198 \n",
       "L 510.85005 47.058831 \n",
       "L 511.246666 130.738615 \n",
       "L 511.643283 46.925868 \n",
       "L 512.0399 47.463997 \n",
       "L 512.436516 130.738615 \n",
       "L 512.833133 47.601198 \n",
       "L 513.22975 47.058831 \n",
       "L 513.626366 130.738615 \n",
       "L 514.022983 46.925868 \n",
       "L 514.4196 47.463997 \n",
       "L 514.816216 130.738615 \n",
       "L 515.212833 47.601198 \n",
       "L 515.60945 47.058831 \n",
       "L 516.006066 130.738615 \n",
       "L 516.402683 46.925868 \n",
       "L 516.7993 47.463997 \n",
       "L 517.195916 130.738615 \n",
       "L 517.592533 47.601198 \n",
       "L 517.98915 47.058831 \n",
       "L 518.385766 130.738615 \n",
       "L 518.782383 46.925868 \n",
       "L 519.179 47.463997 \n",
       "L 519.575616 130.738615 \n",
       "L 519.972233 47.601198 \n",
       "L 520.36885 47.058831 \n",
       "L 520.765467 130.738615 \n",
       "L 521.162083 46.925868 \n",
       "L 521.5587 47.463997 \n",
       "L 521.955317 130.738615 \n",
       "L 522.351933 47.601198 \n",
       "L 522.74855 47.058831 \n",
       "L 523.145167 130.738615 \n",
       "L 523.541783 46.925868 \n",
       "L 523.9384 47.463997 \n",
       "L 524.335017 130.738615 \n",
       "L 524.731633 47.601198 \n",
       "L 525.12825 47.058831 \n",
       "L 525.524867 130.738615 \n",
       "L 525.921483 46.925868 \n",
       "L 526.3181 47.463997 \n",
       "L 526.714717 130.738615 \n",
       "L 527.111333 47.601198 \n",
       "L 527.50795 47.058831 \n",
       "L 527.904567 130.738615 \n",
       "L 528.301183 46.925868 \n",
       "L 528.6978 47.463997 \n",
       "L 529.094417 130.738615 \n",
       "L 529.491033 47.601198 \n",
       "L 529.88765 47.058831 \n",
       "L 530.284267 130.738615 \n",
       "L 530.680883 46.925868 \n",
       "L 531.0775 47.463997 \n",
       "L 531.474117 130.738615 \n",
       "L 531.870733 47.601198 \n",
       "L 532.26735 47.058831 \n",
       "L 532.663967 130.738615 \n",
       "L 533.060583 46.925868 \n",
       "L 533.4572 47.463997 \n",
       "L 533.853817 130.738615 \n",
       "L 534.250433 47.601198 \n",
       "L 534.64705 47.058831 \n",
       "L 535.043667 130.738615 \n",
       "L 535.440283 46.925868 \n",
       "L 535.8369 47.463997 \n",
       "L 536.233517 130.738615 \n",
       "L 536.630134 47.601198 \n",
       "L 537.02675 47.058831 \n",
       "L 537.423367 130.738615 \n",
       "L 537.819984 46.925868 \n",
       "L 538.2166 47.463997 \n",
       "L 538.613217 130.738615 \n",
       "L 539.009834 47.601198 \n",
       "L 539.40645 47.058831 \n",
       "L 539.803067 130.738615 \n",
       "L 540.199684 46.925868 \n",
       "L 540.5963 47.463997 \n",
       "L 540.992917 130.738615 \n",
       "L 541.389534 47.601198 \n",
       "L 541.78615 47.058831 \n",
       "L 542.182767 130.738615 \n",
       "L 542.579384 46.925868 \n",
       "L 542.976 47.463997 \n",
       "L 543.372617 130.738615 \n",
       "L 543.769234 47.601198 \n",
       "L 544.16585 47.058831 \n",
       "L 544.562467 130.738615 \n",
       "L 544.959084 46.925868 \n",
       "L 545.3557 47.463997 \n",
       "L 545.752317 130.738615 \n",
       "L 546.148934 47.601198 \n",
       "L 546.54555 47.058831 \n",
       "L 546.942167 130.738615 \n",
       "L 547.338784 46.925868 \n",
       "L 547.7354 47.463997 \n",
       "L 548.132017 130.738615 \n",
       "L 548.528634 47.601198 \n",
       "L 548.92525 47.058831 \n",
       "L 549.321867 130.738615 \n",
       "L 549.718484 46.925868 \n",
       "L 550.1151 47.463997 \n",
       "L 550.511717 130.738615 \n",
       "L 550.908334 47.601198 \n",
       "L 551.30495 47.058831 \n",
       "L 551.701567 130.738615 \n",
       "L 552.098184 46.925868 \n",
       "L 552.494801 47.463997 \n",
       "L 552.891417 130.738615 \n",
       "L 553.288034 47.601198 \n",
       "L 553.684651 47.058831 \n",
       "L 554.081267 130.738615 \n",
       "L 554.477884 46.925868 \n",
       "L 554.874501 47.463997 \n",
       "L 555.271117 130.738615 \n",
       "L 555.667734 47.601198 \n",
       "L 556.064351 47.058831 \n",
       "L 556.460967 130.738615 \n",
       "L 556.857584 46.925868 \n",
       "L 557.254201 47.463997 \n",
       "L 557.650817 130.738615 \n",
       "L 558.047434 47.601198 \n",
       "L 558.444051 47.058831 \n",
       "L 558.840667 130.738615 \n",
       "L 559.237284 46.925868 \n",
       "L 559.633901 47.463997 \n",
       "L 560.030517 130.738615 \n",
       "L 560.427134 47.601198 \n",
       "L 560.823751 47.058831 \n",
       "L 561.220367 130.738615 \n",
       "L 561.616984 46.925868 \n",
       "L 562.013601 47.463997 \n",
       "L 562.410217 130.738615 \n",
       "L 562.806834 47.601198 \n",
       "L 563.203451 47.058831 \n",
       "L 563.600067 130.738615 \n",
       "L 563.996684 46.925868 \n",
       "L 564.393301 47.463997 \n",
       "L 564.789917 130.738615 \n",
       "L 565.186534 47.601198 \n",
       "L 565.583151 47.058831 \n",
       "L 565.979767 130.738615 \n",
       "L 566.376384 46.925868 \n",
       "L 566.773001 47.463997 \n",
       "L 567.169617 130.738615 \n",
       "L 567.566234 47.601198 \n",
       "L 567.962851 47.058831 \n",
       "L 568.359468 130.738615 \n",
       "L 568.756084 46.925868 \n",
       "L 569.152701 47.463997 \n",
       "L 569.549318 130.738615 \n",
       "L 569.945934 47.601198 \n",
       "L 570.342551 47.058831 \n",
       "L 570.739168 130.738615 \n",
       "L 571.135784 46.925868 \n",
       "L 571.532401 47.463997 \n",
       "L 571.929018 130.738615 \n",
       "L 572.325634 47.601198 \n",
       "L 572.722251 47.058831 \n",
       "L 573.118868 130.738615 \n",
       "L 573.515484 46.925868 \n",
       "L 573.912101 47.463997 \n",
       "L 574.308718 130.738615 \n",
       "L 574.705334 47.601198 \n",
       "L 575.101951 47.058831 \n",
       "L 575.498568 130.738615 \n",
       "L 575.895184 46.925868 \n",
       "L 576.291801 47.463997 \n",
       "L 576.688418 130.738615 \n",
       "L 577.085034 47.601198 \n",
       "L 577.481651 47.058831 \n",
       "L 577.878268 130.738615 \n",
       "L 578.274884 46.925868 \n",
       "L 578.671501 47.463997 \n",
       "L 579.068118 130.738615 \n",
       "L 579.464734 47.601198 \n",
       "L 579.861351 47.058831 \n",
       "L 580.257968 130.738615 \n",
       "L 580.654584 46.925868 \n",
       "L 581.051201 47.463997 \n",
       "L 581.447818 130.738615 \n",
       "L 581.844434 47.601198 \n",
       "L 582.241051 47.058831 \n",
       "L 582.241051 47.058831 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_3\">\n",
       "    <path d=\"M 49.604688 188.638125 \n",
       "L 49.604688 22.318125 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_4\">\n",
       "    <path d=\"M 607.604687 188.638125 \n",
       "L 607.604687 22.318125 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_5\">\n",
       "    <path d=\"M 49.604688 188.638125 \n",
       "L 607.604687 188.638125 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_6\">\n",
       "    <path d=\"M 49.604688 22.318125 \n",
       "L 607.604687 22.318125 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"text_14\">\n",
       "    <!-- Level of output signal -->\n",
       "    <g transform=\"translate(263.723125 16.318125)scale(0.12 -0.12)\">\n",
       "     <defs>\n",
       "      <path d=\"M 628 4666 \n",
       "L 1259 4666 \n",
       "L 1259 531 \n",
       "L 3531 531 \n",
       "L 3531 0 \n",
       "L 628 0 \n",
       "L 628 4666 \n",
       "z\n",
       "\" id=\"DejaVuSans-4c\" transform=\"scale(0.015625)\"/>\n",
       "      <path d=\"M 3597 1894 \n",
       "L 3597 1613 \n",
       "L 953 1613 \n",
       "Q 991 1019 1311 708 \n",
       "Q 1631 397 2203 397 \n",
       "Q 2534 397 2845 478 \n",
       "Q 3156 559 3463 722 \n",
       "L 3463 178 \n",
       "Q 3153 47 2828 -22 \n",
       "Q 2503 -91 2169 -91 \n",
       "Q 1331 -91 842 396 \n",
       "Q 353 884 353 1716 \n",
       "Q 353 2575 817 3079 \n",
       "Q 1281 3584 2069 3584 \n",
       "Q 2775 3584 3186 3129 \n",
       "Q 3597 2675 3597 1894 \n",
       "z\n",
       "M 3022 2063 \n",
       "Q 3016 2534 2758 2815 \n",
       "Q 2500 3097 2075 3097 \n",
       "Q 1594 3097 1305 2825 \n",
       "Q 1016 2553 972 2059 \n",
       "L 3022 2063 \n",
       "z\n",
       "\" id=\"DejaVuSans-65\" transform=\"scale(0.015625)\"/>\n",
       "      <path d=\"M 191 3500 \n",
       "L 800 3500 \n",
       "L 1894 563 \n",
       "L 2988 3500 \n",
       "L 3597 3500 \n",
       "L 2284 0 \n",
       "L 1503 0 \n",
       "L 191 3500 \n",
       "z\n",
       "\" id=\"DejaVuSans-76\" transform=\"scale(0.015625)\"/>\n",
       "      <path d=\"M 603 4863 \n",
       "L 1178 4863 \n",
       "L 1178 0 \n",
       "L 603 0 \n",
       "L 603 4863 \n",
       "z\n",
       "\" id=\"DejaVuSans-6c\" transform=\"scale(0.015625)\"/>\n",
       "      <path d=\"M 1959 3097 \n",
       "Q 1497 3097 1228 2736 \n",
       "Q 959 2375 959 1747 \n",
       "Q 959 1119 1226 758 \n",
       "Q 1494 397 1959 397 \n",
       "Q 2419 397 2687 759 \n",
       "Q 2956 1122 2956 1747 \n",
       "Q 2956 2369 2687 2733 \n",
       "Q 2419 3097 1959 3097 \n",
       "z\n",
       "M 1959 3584 \n",
       "Q 2709 3584 3137 3096 \n",
       "Q 3566 2609 3566 1747 \n",
       "Q 3566 888 3137 398 \n",
       "Q 2709 -91 1959 -91 \n",
       "Q 1206 -91 779 398 \n",
       "Q 353 888 353 1747 \n",
       "Q 353 2609 779 3096 \n",
       "Q 1206 3584 1959 3584 \n",
       "z\n",
       "\" id=\"DejaVuSans-6f\" transform=\"scale(0.015625)\"/>\n",
       "      <path d=\"M 2375 4863 \n",
       "L 2375 4384 \n",
       "L 1825 4384 \n",
       "Q 1516 4384 1395 4259 \n",
       "Q 1275 4134 1275 3809 \n",
       "L 1275 3500 \n",
       "L 2222 3500 \n",
       "L 2222 3053 \n",
       "L 1275 3053 \n",
       "L 1275 0 \n",
       "L 697 0 \n",
       "L 697 3053 \n",
       "L 147 3053 \n",
       "L 147 3500 \n",
       "L 697 3500 \n",
       "L 697 3744 \n",
       "Q 697 4328 969 4595 \n",
       "Q 1241 4863 1831 4863 \n",
       "L 2375 4863 \n",
       "z\n",
       "\" id=\"DejaVuSans-66\" transform=\"scale(0.015625)\"/>\n",
       "      <path d=\"M 544 1381 \n",
       "L 544 3500 \n",
       "L 1119 3500 \n",
       "L 1119 1403 \n",
       "Q 1119 906 1312 657 \n",
       "Q 1506 409 1894 409 \n",
       "Q 2359 409 2629 706 \n",
       "Q 2900 1003 2900 1516 \n",
       "L 2900 3500 \n",
       "L 3475 3500 \n",
       "L 3475 0 \n",
       "L 2900 0 \n",
       "L 2900 538 \n",
       "Q 2691 219 2414 64 \n",
       "Q 2138 -91 1772 -91 \n",
       "Q 1169 -91 856 284 \n",
       "Q 544 659 544 1381 \n",
       "z\n",
       "M 1991 3584 \n",
       "L 1991 3584 \n",
       "z\n",
       "\" id=\"DejaVuSans-75\" transform=\"scale(0.015625)\"/>\n",
       "      <path d=\"M 1172 4494 \n",
       "L 1172 3500 \n",
       "L 2356 3500 \n",
       "L 2356 3053 \n",
       "L 1172 3053 \n",
       "L 1172 1153 \n",
       "Q 1172 725 1289 603 \n",
       "Q 1406 481 1766 481 \n",
       "L 2356 481 \n",
       "L 2356 0 \n",
       "L 1766 0 \n",
       "Q 1100 0 847 248 \n",
       "Q 594 497 594 1153 \n",
       "L 594 3053 \n",
       "L 172 3053 \n",
       "L 172 3500 \n",
       "L 594 3500 \n",
       "L 594 4494 \n",
       "L 1172 4494 \n",
       "z\n",
       "\" id=\"DejaVuSans-74\" transform=\"scale(0.015625)\"/>\n",
       "      <path d=\"M 1159 525 \n",
       "L 1159 -1331 \n",
       "L 581 -1331 \n",
       "L 581 3500 \n",
       "L 1159 3500 \n",
       "L 1159 2969 \n",
       "Q 1341 3281 1617 3432 \n",
       "Q 1894 3584 2278 3584 \n",
       "Q 2916 3584 3314 3078 \n",
       "Q 3713 2572 3713 1747 \n",
       "Q 3713 922 3314 415 \n",
       "Q 2916 -91 2278 -91 \n",
       "Q 1894 -91 1617 61 \n",
       "Q 1341 213 1159 525 \n",
       "z\n",
       "M 3116 1747 \n",
       "Q 3116 2381 2855 2742 \n",
       "Q 2594 3103 2138 3103 \n",
       "Q 1681 3103 1420 2742 \n",
       "Q 1159 2381 1159 1747 \n",
       "Q 1159 1113 1420 752 \n",
       "Q 1681 391 2138 391 \n",
       "Q 2594 391 2855 752 \n",
       "Q 3116 1113 3116 1747 \n",
       "z\n",
       "\" id=\"DejaVuSans-70\" transform=\"scale(0.015625)\"/>\n",
       "      <path d=\"M 2834 3397 \n",
       "L 2834 2853 \n",
       "Q 2591 2978 2328 3040 \n",
       "Q 2066 3103 1784 3103 \n",
       "Q 1356 3103 1142 2972 \n",
       "Q 928 2841 928 2578 \n",
       "Q 928 2378 1081 2264 \n",
       "Q 1234 2150 1697 2047 \n",
       "L 1894 2003 \n",
       "Q 2506 1872 2764 1633 \n",
       "Q 3022 1394 3022 966 \n",
       "Q 3022 478 2636 193 \n",
       "Q 2250 -91 1575 -91 \n",
       "Q 1294 -91 989 -36 \n",
       "Q 684 19 347 128 \n",
       "L 347 722 \n",
       "Q 666 556 975 473 \n",
       "Q 1284 391 1588 391 \n",
       "Q 1994 391 2212 530 \n",
       "Q 2431 669 2431 922 \n",
       "Q 2431 1156 2273 1281 \n",
       "Q 2116 1406 1581 1522 \n",
       "L 1381 1569 \n",
       "Q 847 1681 609 1914 \n",
       "Q 372 2147 372 2553 \n",
       "Q 372 3047 722 3315 \n",
       "Q 1072 3584 1716 3584 \n",
       "Q 2034 3584 2315 3537 \n",
       "Q 2597 3491 2834 3397 \n",
       "z\n",
       "\" id=\"DejaVuSans-73\" transform=\"scale(0.015625)\"/>\n",
       "      <path d=\"M 2906 1791 \n",
       "Q 2906 2416 2648 2759 \n",
       "Q 2391 3103 1925 3103 \n",
       "Q 1463 3103 1205 2759 \n",
       "Q 947 2416 947 1791 \n",
       "Q 947 1169 1205 825 \n",
       "Q 1463 481 1925 481 \n",
       "Q 2391 481 2648 825 \n",
       "Q 2906 1169 2906 1791 \n",
       "z\n",
       "M 3481 434 \n",
       "Q 3481 -459 3084 -895 \n",
       "Q 2688 -1331 1869 -1331 \n",
       "Q 1566 -1331 1297 -1286 \n",
       "Q 1028 -1241 775 -1147 \n",
       "L 775 -588 \n",
       "Q 1028 -725 1275 -790 \n",
       "Q 1522 -856 1778 -856 \n",
       "Q 2344 -856 2625 -561 \n",
       "Q 2906 -266 2906 331 \n",
       "L 2906 616 \n",
       "Q 2728 306 2450 153 \n",
       "Q 2172 0 1784 0 \n",
       "Q 1141 0 747 490 \n",
       "Q 353 981 353 1791 \n",
       "Q 353 2603 747 3093 \n",
       "Q 1141 3584 1784 3584 \n",
       "Q 2172 3584 2450 3431 \n",
       "Q 2728 3278 2906 2969 \n",
       "L 2906 3500 \n",
       "L 3481 3500 \n",
       "L 3481 434 \n",
       "z\n",
       "\" id=\"DejaVuSans-67\" transform=\"scale(0.015625)\"/>\n",
       "      <path d=\"M 2194 1759 \n",
       "Q 1497 1759 1228 1600 \n",
       "Q 959 1441 959 1056 \n",
       "Q 959 750 1161 570 \n",
       "Q 1363 391 1709 391 \n",
       "Q 2188 391 2477 730 \n",
       "Q 2766 1069 2766 1631 \n",
       "L 2766 1759 \n",
       "L 2194 1759 \n",
       "z\n",
       "M 3341 1997 \n",
       "L 3341 0 \n",
       "L 2766 0 \n",
       "L 2766 531 \n",
       "Q 2569 213 2275 61 \n",
       "Q 1981 -91 1556 -91 \n",
       "Q 1019 -91 701 211 \n",
       "Q 384 513 384 1019 \n",
       "Q 384 1609 779 1909 \n",
       "Q 1175 2209 1959 2209 \n",
       "L 2766 2209 \n",
       "L 2766 2266 \n",
       "Q 2766 2663 2505 2880 \n",
       "Q 2244 3097 1772 3097 \n",
       "Q 1472 3097 1187 3025 \n",
       "Q 903 2953 641 2809 \n",
       "L 641 3341 \n",
       "Q 956 3463 1253 3523 \n",
       "Q 1550 3584 1831 3584 \n",
       "Q 2591 3584 2966 3190 \n",
       "Q 3341 2797 3341 1997 \n",
       "z\n",
       "\" id=\"DejaVuSans-61\" transform=\"scale(0.015625)\"/>\n",
       "     </defs>\n",
       "     <use xlink:href=\"#DejaVuSans-4c\"/>\n",
       "     <use x=\"53.962891\" xlink:href=\"#DejaVuSans-65\"/>\n",
       "     <use x=\"115.486328\" xlink:href=\"#DejaVuSans-76\"/>\n",
       "     <use x=\"174.666016\" xlink:href=\"#DejaVuSans-65\"/>\n",
       "     <use x=\"236.189453\" xlink:href=\"#DejaVuSans-6c\"/>\n",
       "     <use x=\"263.972656\" xlink:href=\"#DejaVuSans-20\"/>\n",
       "     <use x=\"295.759766\" xlink:href=\"#DejaVuSans-6f\"/>\n",
       "     <use x=\"356.941406\" xlink:href=\"#DejaVuSans-66\"/>\n",
       "     <use x=\"392.146484\" xlink:href=\"#DejaVuSans-20\"/>\n",
       "     <use x=\"423.933594\" xlink:href=\"#DejaVuSans-6f\"/>\n",
       "     <use x=\"485.115234\" xlink:href=\"#DejaVuSans-75\"/>\n",
       "     <use x=\"548.494141\" xlink:href=\"#DejaVuSans-74\"/>\n",
       "     <use x=\"587.703125\" xlink:href=\"#DejaVuSans-70\"/>\n",
       "     <use x=\"651.179688\" xlink:href=\"#DejaVuSans-75\"/>\n",
       "     <use x=\"714.558594\" xlink:href=\"#DejaVuSans-74\"/>\n",
       "     <use x=\"753.767578\" xlink:href=\"#DejaVuSans-20\"/>\n",
       "     <use x=\"785.554688\" xlink:href=\"#DejaVuSans-73\"/>\n",
       "     <use x=\"837.654297\" xlink:href=\"#DejaVuSans-69\"/>\n",
       "     <use x=\"865.4375\" xlink:href=\"#DejaVuSans-67\"/>\n",
       "     <use x=\"928.914062\" xlink:href=\"#DejaVuSans-6e\"/>\n",
       "     <use x=\"992.292969\" xlink:href=\"#DejaVuSans-61\"/>\n",
       "     <use x=\"1053.572266\" xlink:href=\"#DejaVuSans-6c\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "  </g>\n",
       " </g>\n",
       " <defs>\n",
       "  <clipPath id=\"p2852b921d8\">\n",
       "   <rect height=\"166.32\" width=\"558\" x=\"49.604688\" y=\"22.318125\"/>\n",
       "  </clipPath>\n",
       " </defs>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "<Figure size 960x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/pdf": "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\n",
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
       "  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
       "<svg height=\"226.194375pt\" version=\"1.1\" viewBox=\"0 0 617.882812 226.194375\" width=\"617.882812pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
       " <metadata>\n",
       "  <rdf:RDF xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\">\n",
       "   <cc:Work>\n",
       "    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n",
       "    <dc:date>2022-01-24T11:52:10.469356</dc:date>\n",
       "    <dc:format>image/svg+xml</dc:format>\n",
       "    <dc:creator>\n",
       "     <cc:Agent>\n",
       "      <dc:title>Matplotlib v3.4.3, https://matplotlib.org/</dc:title>\n",
       "     </cc:Agent>\n",
       "    </dc:creator>\n",
       "   </cc:Work>\n",
       "  </rdf:RDF>\n",
       " </metadata>\n",
       " <defs>\n",
       "  <style type=\"text/css\">*{stroke-linecap:butt;stroke-linejoin:round;}</style>\n",
       " </defs>\n",
       " <g id=\"figure_1\">\n",
       "  <g id=\"patch_1\">\n",
       "   <path d=\"M 0 226.194375 \n",
       "L 617.882812 226.194375 \n",
       "L 617.882812 0 \n",
       "L 0 0 \n",
       "z\n",
       "\" style=\"fill:#ffffff;\"/>\n",
       "  </g>\n",
       "  <g id=\"axes_1\">\n",
       "   <g id=\"patch_2\">\n",
       "    <path d=\"M 52.682813 188.638125 \n",
       "L 610.682812 188.638125 \n",
       "L 610.682812 22.318125 \n",
       "L 52.682813 22.318125 \n",
       "z\n",
       "\" style=\"fill:#ffffff;\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_1\">\n",
       "    <g id=\"xtick_1\">\n",
       "     <g id=\"line2d_1\">\n",
       "      <path clip-path=\"url(#p3632d1cf46)\" d=\"M 78.046449 188.638125 \n",
       "L 78.046449 22.318125 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_2\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L 0 3.5 \n",
       "\" id=\"m3b1b10d66f\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"78.046449\" xlink:href=\"#m3b1b10d66f\" y=\"188.638125\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_1\">\n",
       "      <!-- 1000 -->\n",
       "      <g transform=\"translate(65.321449 203.236563)scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path d=\"M 794 531 \n",
       "L 1825 531 \n",
       "L 1825 4091 \n",
       "L 703 3866 \n",
       "L 703 4441 \n",
       "L 1819 4666 \n",
       "L 2450 4666 \n",
       "L 2450 531 \n",
       "L 3481 531 \n",
       "L 3481 0 \n",
       "L 794 0 \n",
       "L 794 531 \n",
       "z\n",
       "\" id=\"DejaVuSans-31\" transform=\"scale(0.015625)\"/>\n",
       "        <path d=\"M 2034 4250 \n",
       "Q 1547 4250 1301 3770 \n",
       "Q 1056 3291 1056 2328 \n",
       "Q 1056 1369 1301 889 \n",
       "Q 1547 409 2034 409 \n",
       "Q 2525 409 2770 889 \n",
       "Q 3016 1369 3016 2328 \n",
       "Q 3016 3291 2770 3770 \n",
       "Q 2525 4250 2034 4250 \n",
       "z\n",
       "M 2034 4750 \n",
       "Q 2819 4750 3233 4129 \n",
       "Q 3647 3509 3647 2328 \n",
       "Q 3647 1150 3233 529 \n",
       "Q 2819 -91 2034 -91 \n",
       "Q 1250 -91 836 529 \n",
       "Q 422 1150 422 2328 \n",
       "Q 422 3509 836 4129 \n",
       "Q 1250 4750 2034 4750 \n",
       "z\n",
       "\" id=\"DejaVuSans-30\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#DejaVuSans-31\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_2\">\n",
       "     <g id=\"line2d_3\">\n",
       "      <path clip-path=\"url(#p3632d1cf46)\" d=\"M 181.571495 188.638125 \n",
       "L 181.571495 22.318125 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_4\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"181.571495\" xlink:href=\"#m3b1b10d66f\" y=\"188.638125\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_2\">\n",
       "      <!-- 1010 -->\n",
       "      <g transform=\"translate(168.846495 203.236563)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-31\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-31\"/>\n",
       "       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_3\">\n",
       "     <g id=\"line2d_5\">\n",
       "      <path clip-path=\"url(#p3632d1cf46)\" d=\"M 285.096542 188.638125 \n",
       "L 285.096542 22.318125 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_6\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"285.096542\" xlink:href=\"#m3b1b10d66f\" y=\"188.638125\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_3\">\n",
       "      <!-- 1020 -->\n",
       "      <g transform=\"translate(272.371542 203.236563)scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path d=\"M 1228 531 \n",
       "L 3431 531 \n",
       "L 3431 0 \n",
       "L 469 0 \n",
       "L 469 531 \n",
       "Q 828 903 1448 1529 \n",
       "Q 2069 2156 2228 2338 \n",
       "Q 2531 2678 2651 2914 \n",
       "Q 2772 3150 2772 3378 \n",
       "Q 2772 3750 2511 3984 \n",
       "Q 2250 4219 1831 4219 \n",
       "Q 1534 4219 1204 4116 \n",
       "Q 875 4013 500 3803 \n",
       "L 500 4441 \n",
       "Q 881 4594 1212 4672 \n",
       "Q 1544 4750 1819 4750 \n",
       "Q 2544 4750 2975 4387 \n",
       "Q 3406 4025 3406 3419 \n",
       "Q 3406 3131 3298 2873 \n",
       "Q 3191 2616 2906 2266 \n",
       "Q 2828 2175 2409 1742 \n",
       "Q 1991 1309 1228 531 \n",
       "z\n",
       "\" id=\"DejaVuSans-32\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#DejaVuSans-31\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_4\">\n",
       "     <g id=\"line2d_7\">\n",
       "      <path clip-path=\"url(#p3632d1cf46)\" d=\"M 388.621588 188.638125 \n",
       "L 388.621588 22.318125 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_8\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"388.621588\" xlink:href=\"#m3b1b10d66f\" y=\"188.638125\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_4\">\n",
       "      <!-- 1030 -->\n",
       "      <g transform=\"translate(375.896588 203.236563)scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path d=\"M 2597 2516 \n",
       "Q 3050 2419 3304 2112 \n",
       "Q 3559 1806 3559 1356 \n",
       "Q 3559 666 3084 287 \n",
       "Q 2609 -91 1734 -91 \n",
       "Q 1441 -91 1130 -33 \n",
       "Q 819 25 488 141 \n",
       "L 488 750 \n",
       "Q 750 597 1062 519 \n",
       "Q 1375 441 1716 441 \n",
       "Q 2309 441 2620 675 \n",
       "Q 2931 909 2931 1356 \n",
       "Q 2931 1769 2642 2001 \n",
       "Q 2353 2234 1838 2234 \n",
       "L 1294 2234 \n",
       "L 1294 2753 \n",
       "L 1863 2753 \n",
       "Q 2328 2753 2575 2939 \n",
       "Q 2822 3125 2822 3475 \n",
       "Q 2822 3834 2567 4026 \n",
       "Q 2313 4219 1838 4219 \n",
       "Q 1578 4219 1281 4162 \n",
       "Q 984 4106 628 3988 \n",
       "L 628 4550 \n",
       "Q 988 4650 1302 4700 \n",
       "Q 1616 4750 1894 4750 \n",
       "Q 2613 4750 3031 4423 \n",
       "Q 3450 4097 3450 3541 \n",
       "Q 3450 3153 3228 2886 \n",
       "Q 3006 2619 2597 2516 \n",
       "z\n",
       "\" id=\"DejaVuSans-33\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#DejaVuSans-31\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-33\"/>\n",
       "       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_5\">\n",
       "     <g id=\"line2d_9\">\n",
       "      <path clip-path=\"url(#p3632d1cf46)\" d=\"M 492.146634 188.638125 \n",
       "L 492.146634 22.318125 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_10\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"492.146634\" xlink:href=\"#m3b1b10d66f\" y=\"188.638125\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_5\">\n",
       "      <!-- 1040 -->\n",
       "      <g transform=\"translate(479.421634 203.236563)scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path d=\"M 2419 4116 \n",
       "L 825 1625 \n",
       "L 2419 1625 \n",
       "L 2419 4116 \n",
       "z\n",
       "M 2253 4666 \n",
       "L 3047 4666 \n",
       "L 3047 1625 \n",
       "L 3713 1625 \n",
       "L 3713 1100 \n",
       "L 3047 1100 \n",
       "L 3047 0 \n",
       "L 2419 0 \n",
       "L 2419 1100 \n",
       "L 313 1100 \n",
       "L 313 1709 \n",
       "L 2253 4666 \n",
       "z\n",
       "\" id=\"DejaVuSans-34\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#DejaVuSans-31\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-34\"/>\n",
       "       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_6\">\n",
       "     <g id=\"line2d_11\">\n",
       "      <path clip-path=\"url(#p3632d1cf46)\" d=\"M 595.671681 188.638125 \n",
       "L 595.671681 22.318125 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_12\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"595.671681\" xlink:href=\"#m3b1b10d66f\" y=\"188.638125\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_6\">\n",
       "      <!-- 1050 -->\n",
       "      <g transform=\"translate(582.946681 203.236563)scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path d=\"M 691 4666 \n",
       "L 3169 4666 \n",
       "L 3169 4134 \n",
       "L 1269 4134 \n",
       "L 1269 2991 \n",
       "Q 1406 3038 1543 3061 \n",
       "Q 1681 3084 1819 3084 \n",
       "Q 2600 3084 3056 2656 \n",
       "Q 3513 2228 3513 1497 \n",
       "Q 3513 744 3044 326 \n",
       "Q 2575 -91 1722 -91 \n",
       "Q 1428 -91 1123 -41 \n",
       "Q 819 9 494 109 \n",
       "L 494 744 \n",
       "Q 775 591 1075 516 \n",
       "Q 1375 441 1709 441 \n",
       "Q 2250 441 2565 725 \n",
       "Q 2881 1009 2881 1497 \n",
       "Q 2881 1984 2565 2268 \n",
       "Q 2250 2553 1709 2553 \n",
       "Q 1456 2553 1204 2497 \n",
       "Q 953 2441 691 2322 \n",
       "L 691 4666 \n",
       "z\n",
       "\" id=\"DejaVuSans-35\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#DejaVuSans-31\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-35\"/>\n",
       "       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_7\">\n",
       "     <!-- $k$ -->\n",
       "     <g transform=\"translate(328.782813 216.914688)scale(0.1 -0.1)\">\n",
       "      <defs>\n",
       "       <path d=\"M 1172 4863 \n",
       "L 1747 4863 \n",
       "L 1197 2028 \n",
       "L 3169 3500 \n",
       "L 3916 3500 \n",
       "L 1716 1825 \n",
       "L 3322 0 \n",
       "L 2625 0 \n",
       "L 1131 1709 \n",
       "L 800 0 \n",
       "L 225 0 \n",
       "L 1172 4863 \n",
       "z\n",
       "\" id=\"DejaVuSans-Oblique-6b\" transform=\"scale(0.015625)\"/>\n",
       "      </defs>\n",
       "      <use transform=\"translate(0 0.015625)\" xlink:href=\"#DejaVuSans-Oblique-6b\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_2\">\n",
       "    <g id=\"ytick_1\">\n",
       "     <g id=\"line2d_13\">\n",
       "      <path clip-path=\"url(#p3632d1cf46)\" d=\"M 52.682813 180.494341 \n",
       "L 610.682812 180.494341 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_14\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L -3.5 0 \n",
       "\" id=\"m30ab449016\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"52.682813\" xlink:href=\"#m30ab449016\" y=\"180.494341\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_8\">\n",
       "      <!-- −1.0 -->\n",
       "      <g transform=\"translate(21.4 184.29356)scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path d=\"M 678 2272 \n",
       "L 4684 2272 \n",
       "L 4684 1741 \n",
       "L 678 1741 \n",
       "L 678 2272 \n",
       "z\n",
       "\" id=\"DejaVuSans-2212\" transform=\"scale(0.015625)\"/>\n",
       "        <path d=\"M 684 794 \n",
       "L 1344 794 \n",
       "L 1344 0 \n",
       "L 684 0 \n",
       "L 684 794 \n",
       "z\n",
       "\" id=\"DejaVuSans-2e\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#DejaVuSans-2212\"/>\n",
       "       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-31\"/>\n",
       "       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-2e\"/>\n",
       "       <use x=\"179.199219\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_2\">\n",
       "     <g id=\"line2d_15\">\n",
       "      <path clip-path=\"url(#p3632d1cf46)\" d=\"M 52.682813 143.132179 \n",
       "L 610.682812 143.132179 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_16\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"52.682813\" xlink:href=\"#m30ab449016\" y=\"143.132179\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_9\">\n",
       "      <!-- −0.5 -->\n",
       "      <g transform=\"translate(21.4 146.931398)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-2212\"/>\n",
       "       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-2e\"/>\n",
       "       <use x=\"179.199219\" xlink:href=\"#DejaVuSans-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_3\">\n",
       "     <g id=\"line2d_17\">\n",
       "      <path clip-path=\"url(#p3632d1cf46)\" d=\"M 52.682813 105.770017 \n",
       "L 610.682812 105.770017 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_18\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"52.682813\" xlink:href=\"#m30ab449016\" y=\"105.770017\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_10\">\n",
       "      <!-- 0.0 -->\n",
       "      <g transform=\"translate(29.779688 109.569236)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_4\">\n",
       "     <g id=\"line2d_19\">\n",
       "      <path clip-path=\"url(#p3632d1cf46)\" d=\"M 52.682813 68.407855 \n",
       "L 610.682812 68.407855 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_20\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"52.682813\" xlink:href=\"#m30ab449016\" y=\"68.407855\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_11\">\n",
       "      <!-- 0.5 -->\n",
       "      <g transform=\"translate(29.779688 72.207073)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_5\">\n",
       "     <g id=\"line2d_21\">\n",
       "      <path clip-path=\"url(#p3632d1cf46)\" d=\"M 52.682813 31.045693 \n",
       "L 610.682812 31.045693 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_22\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"52.682813\" xlink:href=\"#m30ab449016\" y=\"31.045693\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_12\">\n",
       "      <!-- 1.0 -->\n",
       "      <g transform=\"translate(29.779688 34.844911)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-31\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_13\">\n",
       "     <!-- $y_Q[k]$  -->\n",
       "     <g transform=\"translate(14.8 119.728125)rotate(-90)scale(0.1 -0.1)\">\n",
       "      <defs>\n",
       "       <path d=\"M 1588 -325 \n",
       "Q 1188 -997 936 -1164 \n",
       "Q 684 -1331 294 -1331 \n",
       "L -159 -1331 \n",
       "L -63 -850 \n",
       "L 269 -850 \n",
       "Q 509 -850 678 -719 \n",
       "Q 847 -588 1056 -206 \n",
       "L 1234 128 \n",
       "L 459 3500 \n",
       "L 1069 3500 \n",
       "L 1650 819 \n",
       "L 3256 3500 \n",
       "L 3859 3500 \n",
       "L 1588 -325 \n",
       "z\n",
       "\" id=\"DejaVuSans-Oblique-79\" transform=\"scale(0.015625)\"/>\n",
       "       <path d=\"M 2309 -84 \n",
       "Q 2275 -88 2237 -89 \n",
       "Q 2200 -91 2125 -91 \n",
       "Q 1250 -91 756 411 \n",
       "Q 263 913 263 1797 \n",
       "Q 263 2319 452 2844 \n",
       "Q 641 3369 978 3788 \n",
       "Q 1369 4269 1858 4509 \n",
       "Q 2347 4750 2938 4750 \n",
       "Q 3794 4750 4287 4245 \n",
       "Q 4781 3741 4781 2869 \n",
       "Q 4781 1928 4265 1147 \n",
       "Q 3750 366 2919 44 \n",
       "L 3553 -825 \n",
       "L 2847 -825 \n",
       "L 2309 -84 \n",
       "z\n",
       "M 2919 4238 \n",
       "Q 2400 4238 2003 3986 \n",
       "Q 1606 3734 1313 3219 \n",
       "Q 1125 2891 1026 2522 \n",
       "Q 928 2153 928 1778 \n",
       "Q 928 1128 1239 775 \n",
       "Q 1550 422 2119 422 \n",
       "Q 2631 422 3032 676 \n",
       "Q 3434 931 3719 1434 \n",
       "Q 3909 1772 4009 2142 \n",
       "Q 4109 2513 4109 2881 \n",
       "Q 4109 3528 3796 3883 \n",
       "Q 3484 4238 2919 4238 \n",
       "z\n",
       "\" id=\"DejaVuSans-Oblique-51\" transform=\"scale(0.015625)\"/>\n",
       "       <path d=\"M 550 4863 \n",
       "L 1875 4863 \n",
       "L 1875 4416 \n",
       "L 1125 4416 \n",
       "L 1125 -397 \n",
       "L 1875 -397 \n",
       "L 1875 -844 \n",
       "L 550 -844 \n",
       "L 550 4863 \n",
       "z\n",
       "\" id=\"DejaVuSans-5b\" transform=\"scale(0.015625)\"/>\n",
       "       <path d=\"M 1947 4863 \n",
       "L 1947 -844 \n",
       "L 622 -844 \n",
       "L 622 -397 \n",
       "L 1369 -397 \n",
       "L 1369 4416 \n",
       "L 622 4416 \n",
       "L 622 4863 \n",
       "L 1947 4863 \n",
       "z\n",
       "\" id=\"DejaVuSans-5d\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"DejaVuSans-20\" transform=\"scale(0.015625)\"/>\n",
       "      </defs>\n",
       "      <use transform=\"translate(0 0.015625)\" xlink:href=\"#DejaVuSans-Oblique-79\"/>\n",
       "      <use transform=\"translate(59.179688 -16.390625)scale(0.7)\" xlink:href=\"#DejaVuSans-Oblique-51\"/>\n",
       "      <use transform=\"translate(117.011719 0.015625)\" xlink:href=\"#DejaVuSans-5b\"/>\n",
       "      <use transform=\"translate(156.025391 0.015625)\" xlink:href=\"#DejaVuSans-Oblique-6b\"/>\n",
       "      <use transform=\"translate(213.935547 0.015625)\" xlink:href=\"#DejaVuSans-5d\"/>\n",
       "      <use transform=\"translate(252.949219 0.015625)\" xlink:href=\"#DejaVuSans-20\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"LineCollection_1\">\n",
       "    <path clip-path=\"url(#p3632d1cf46)\" d=\"M 78.046449 105.770017 \n",
       "L 78.046449 32.21326 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p3632d1cf46)\" d=\"M 88.398954 105.770017 \n",
       "L 88.398954 105.186233 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p3632d1cf46)\" d=\"M 98.751458 105.770017 \n",
       "L 98.751458 178.74299 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p3632d1cf46)\" d=\"M 109.103963 105.770017 \n",
       "L 109.103963 181.078125 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p3632d1cf46)\" d=\"M 119.456467 105.770017 \n",
       "L 119.456467 105.186233 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p3632d1cf46)\" d=\"M 129.808972 105.770017 \n",
       "L 129.808972 29.878125 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p3632d1cf46)\" d=\"M 140.161477 105.770017 \n",
       "L 140.161477 32.21326 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p3632d1cf46)\" d=\"M 150.513981 105.770017 \n",
       "L 150.513981 105.186233 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p3632d1cf46)\" d=\"M 160.866486 105.770017 \n",
       "L 160.866486 178.74299 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p3632d1cf46)\" d=\"M 171.218991 105.770017 \n",
       "L 171.218991 181.078125 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p3632d1cf46)\" d=\"M 181.571495 105.770017 \n",
       "L 181.571495 105.186233 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p3632d1cf46)\" d=\"M 191.924 105.770017 \n",
       "L 191.924 29.878125 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p3632d1cf46)\" d=\"M 202.276505 105.770017 \n",
       "L 202.276505 32.21326 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p3632d1cf46)\" d=\"M 212.629009 105.770017 \n",
       "L 212.629009 105.186233 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p3632d1cf46)\" d=\"M 222.981514 105.770017 \n",
       "L 222.981514 178.74299 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p3632d1cf46)\" d=\"M 233.334018 105.770017 \n",
       "L 233.334018 181.078125 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p3632d1cf46)\" d=\"M 243.686523 105.770017 \n",
       "L 243.686523 105.186233 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p3632d1cf46)\" d=\"M 254.039028 105.770017 \n",
       "L 254.039028 29.878125 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p3632d1cf46)\" d=\"M 264.391532 105.770017 \n",
       "L 264.391532 32.21326 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p3632d1cf46)\" d=\"M 274.744037 105.770017 \n",
       "L 274.744037 105.186233 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p3632d1cf46)\" d=\"M 285.096542 105.770017 \n",
       "L 285.096542 178.74299 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p3632d1cf46)\" d=\"M 295.449046 105.770017 \n",
       "L 295.449046 181.078125 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p3632d1cf46)\" d=\"M 305.801551 105.770017 \n",
       "L 305.801551 105.186233 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p3632d1cf46)\" d=\"M 316.154056 105.770017 \n",
       "L 316.154056 29.878125 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p3632d1cf46)\" d=\"M 326.50656 105.770017 \n",
       "L 326.50656 32.21326 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p3632d1cf46)\" d=\"M 336.859065 105.770017 \n",
       "L 336.859065 105.186233 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p3632d1cf46)\" d=\"M 347.211569 105.770017 \n",
       "L 347.211569 178.74299 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p3632d1cf46)\" d=\"M 357.564074 105.770017 \n",
       "L 357.564074 181.078125 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p3632d1cf46)\" d=\"M 367.916579 105.770017 \n",
       "L 367.916579 105.186233 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p3632d1cf46)\" d=\"M 378.269083 105.770017 \n",
       "L 378.269083 29.878125 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p3632d1cf46)\" d=\"M 388.621588 105.770017 \n",
       "L 388.621588 32.21326 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p3632d1cf46)\" d=\"M 398.974093 105.770017 \n",
       "L 398.974093 105.186233 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p3632d1cf46)\" d=\"M 409.326597 105.770017 \n",
       "L 409.326597 178.74299 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p3632d1cf46)\" d=\"M 419.679102 105.770017 \n",
       "L 419.679102 181.078125 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p3632d1cf46)\" d=\"M 430.031607 105.770017 \n",
       "L 430.031607 105.186233 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p3632d1cf46)\" d=\"M 440.384111 105.770017 \n",
       "L 440.384111 29.878125 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p3632d1cf46)\" d=\"M 450.736616 105.770017 \n",
       "L 450.736616 32.21326 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p3632d1cf46)\" d=\"M 461.08912 105.770017 \n",
       "L 461.08912 105.186233 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p3632d1cf46)\" d=\"M 471.441625 105.770017 \n",
       "L 471.441625 178.74299 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p3632d1cf46)\" d=\"M 481.79413 105.770017 \n",
       "L 481.79413 181.078125 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p3632d1cf46)\" d=\"M 492.146634 105.770017 \n",
       "L 492.146634 105.186233 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p3632d1cf46)\" d=\"M 502.499139 105.770017 \n",
       "L 502.499139 29.878125 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p3632d1cf46)\" d=\"M 512.851644 105.770017 \n",
       "L 512.851644 32.21326 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p3632d1cf46)\" d=\"M 523.204148 105.770017 \n",
       "L 523.204148 105.186233 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p3632d1cf46)\" d=\"M 533.556653 105.770017 \n",
       "L 533.556653 178.74299 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p3632d1cf46)\" d=\"M 543.909158 105.770017 \n",
       "L 543.909158 181.078125 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p3632d1cf46)\" d=\"M 554.261662 105.770017 \n",
       "L 554.261662 105.186233 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p3632d1cf46)\" d=\"M 564.614167 105.770017 \n",
       "L 564.614167 29.878125 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p3632d1cf46)\" d=\"M 574.966671 105.770017 \n",
       "L 574.966671 32.21326 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "    <path clip-path=\"url(#p3632d1cf46)\" d=\"M 585.319176 105.770017 \n",
       "L 585.319176 105.186233 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_23\">\n",
       "    <defs>\n",
       "     <path d=\"M 0 3 \n",
       "C 0.795609 3 1.55874 2.683901 2.12132 2.12132 \n",
       "C 2.683901 1.55874 3 0.795609 3 0 \n",
       "C 3 -0.795609 2.683901 -1.55874 2.12132 -2.12132 \n",
       "C 1.55874 -2.683901 0.795609 -3 0 -3 \n",
       "C -0.795609 -3 -1.55874 -2.683901 -2.12132 -2.12132 \n",
       "C -2.683901 -1.55874 -3 -0.795609 -3 0 \n",
       "C -3 0.795609 -2.683901 1.55874 -2.12132 2.12132 \n",
       "C -1.55874 2.683901 -0.795609 3 0 3 \n",
       "z\n",
       "\" id=\"m36dcf1f263\" style=\"stroke:#1f77b4;\"/>\n",
       "    </defs>\n",
       "    <g clip-path=\"url(#p3632d1cf46)\">\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"78.046449\" xlink:href=\"#m36dcf1f263\" y=\"32.21326\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"88.398954\" xlink:href=\"#m36dcf1f263\" y=\"105.186233\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"98.751458\" xlink:href=\"#m36dcf1f263\" y=\"178.74299\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"109.103963\" xlink:href=\"#m36dcf1f263\" y=\"181.078125\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"119.456467\" xlink:href=\"#m36dcf1f263\" y=\"105.186233\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"129.808972\" xlink:href=\"#m36dcf1f263\" y=\"29.878125\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"140.161477\" xlink:href=\"#m36dcf1f263\" y=\"32.21326\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"150.513981\" xlink:href=\"#m36dcf1f263\" y=\"105.186233\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"160.866486\" xlink:href=\"#m36dcf1f263\" y=\"178.74299\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"171.218991\" xlink:href=\"#m36dcf1f263\" y=\"181.078125\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"181.571495\" xlink:href=\"#m36dcf1f263\" y=\"105.186233\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"191.924\" xlink:href=\"#m36dcf1f263\" y=\"29.878125\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"202.276505\" xlink:href=\"#m36dcf1f263\" y=\"32.21326\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"212.629009\" xlink:href=\"#m36dcf1f263\" y=\"105.186233\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"222.981514\" xlink:href=\"#m36dcf1f263\" y=\"178.74299\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"233.334018\" xlink:href=\"#m36dcf1f263\" y=\"181.078125\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"243.686523\" xlink:href=\"#m36dcf1f263\" y=\"105.186233\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"254.039028\" xlink:href=\"#m36dcf1f263\" y=\"29.878125\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"264.391532\" xlink:href=\"#m36dcf1f263\" y=\"32.21326\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"274.744037\" xlink:href=\"#m36dcf1f263\" y=\"105.186233\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"285.096542\" xlink:href=\"#m36dcf1f263\" y=\"178.74299\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"295.449046\" xlink:href=\"#m36dcf1f263\" y=\"181.078125\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"305.801551\" xlink:href=\"#m36dcf1f263\" y=\"105.186233\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"316.154056\" xlink:href=\"#m36dcf1f263\" y=\"29.878125\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"326.50656\" xlink:href=\"#m36dcf1f263\" y=\"32.21326\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"336.859065\" xlink:href=\"#m36dcf1f263\" y=\"105.186233\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"347.211569\" xlink:href=\"#m36dcf1f263\" y=\"178.74299\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"357.564074\" xlink:href=\"#m36dcf1f263\" y=\"181.078125\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"367.916579\" xlink:href=\"#m36dcf1f263\" y=\"105.186233\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"378.269083\" xlink:href=\"#m36dcf1f263\" y=\"29.878125\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"388.621588\" xlink:href=\"#m36dcf1f263\" y=\"32.21326\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"398.974093\" xlink:href=\"#m36dcf1f263\" y=\"105.186233\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"409.326597\" xlink:href=\"#m36dcf1f263\" y=\"178.74299\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"419.679102\" xlink:href=\"#m36dcf1f263\" y=\"181.078125\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"430.031607\" xlink:href=\"#m36dcf1f263\" y=\"105.186233\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"440.384111\" xlink:href=\"#m36dcf1f263\" y=\"29.878125\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"450.736616\" xlink:href=\"#m36dcf1f263\" y=\"32.21326\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"461.08912\" xlink:href=\"#m36dcf1f263\" y=\"105.186233\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"471.441625\" xlink:href=\"#m36dcf1f263\" y=\"178.74299\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"481.79413\" xlink:href=\"#m36dcf1f263\" y=\"181.078125\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"492.146634\" xlink:href=\"#m36dcf1f263\" y=\"105.186233\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"502.499139\" xlink:href=\"#m36dcf1f263\" y=\"29.878125\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"512.851644\" xlink:href=\"#m36dcf1f263\" y=\"32.21326\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"523.204148\" xlink:href=\"#m36dcf1f263\" y=\"105.186233\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"533.556653\" xlink:href=\"#m36dcf1f263\" y=\"178.74299\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"543.909158\" xlink:href=\"#m36dcf1f263\" y=\"181.078125\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"554.261662\" xlink:href=\"#m36dcf1f263\" y=\"105.186233\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"564.614167\" xlink:href=\"#m36dcf1f263\" y=\"29.878125\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"574.966671\" xlink:href=\"#m36dcf1f263\" y=\"32.21326\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"585.319176\" xlink:href=\"#m36dcf1f263\" y=\"105.186233\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_24\">\n",
       "    <path clip-path=\"url(#p3632d1cf46)\" d=\"M 78.046449 105.770017 \n",
       "L 585.319176 105.770017 \n",
       "\" style=\"fill:none;stroke:#d62728;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_3\">\n",
       "    <path d=\"M 52.682813 188.638125 \n",
       "L 52.682813 22.318125 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_4\">\n",
       "    <path d=\"M 610.682812 188.638125 \n",
       "L 610.682812 22.318125 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_5\">\n",
       "    <path d=\"M 52.682812 188.638125 \n",
       "L 610.682812 188.638125 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_6\">\n",
       "    <path d=\"M 52.682812 22.318125 \n",
       "L 610.682812 22.318125 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"text_14\">\n",
       "    <!-- Output signal for zero input -->\n",
       "    <g transform=\"translate(248.939063 16.318125)scale(0.12 -0.12)\">\n",
       "     <defs>\n",
       "      <path d=\"M 2522 4238 \n",
       "Q 1834 4238 1429 3725 \n",
       "Q 1025 3213 1025 2328 \n",
       "Q 1025 1447 1429 934 \n",
       "Q 1834 422 2522 422 \n",
       "Q 3209 422 3611 934 \n",
       "Q 4013 1447 4013 2328 \n",
       "Q 4013 3213 3611 3725 \n",
       "Q 3209 4238 2522 4238 \n",
       "z\n",
       "M 2522 4750 \n",
       "Q 3503 4750 4090 4092 \n",
       "Q 4678 3434 4678 2328 \n",
       "Q 4678 1225 4090 567 \n",
       "Q 3503 -91 2522 -91 \n",
       "Q 1538 -91 948 565 \n",
       "Q 359 1222 359 2328 \n",
       "Q 359 3434 948 4092 \n",
       "Q 1538 4750 2522 4750 \n",
       "z\n",
       "\" id=\"DejaVuSans-4f\" transform=\"scale(0.015625)\"/>\n",
       "      <path d=\"M 544 1381 \n",
       "L 544 3500 \n",
       "L 1119 3500 \n",
       "L 1119 1403 \n",
       "Q 1119 906 1312 657 \n",
       "Q 1506 409 1894 409 \n",
       "Q 2359 409 2629 706 \n",
       "Q 2900 1003 2900 1516 \n",
       "L 2900 3500 \n",
       "L 3475 3500 \n",
       "L 3475 0 \n",
       "L 2900 0 \n",
       "L 2900 538 \n",
       "Q 2691 219 2414 64 \n",
       "Q 2138 -91 1772 -91 \n",
       "Q 1169 -91 856 284 \n",
       "Q 544 659 544 1381 \n",
       "z\n",
       "M 1991 3584 \n",
       "L 1991 3584 \n",
       "z\n",
       "\" id=\"DejaVuSans-75\" transform=\"scale(0.015625)\"/>\n",
       "      <path d=\"M 1172 4494 \n",
       "L 1172 3500 \n",
       "L 2356 3500 \n",
       "L 2356 3053 \n",
       "L 1172 3053 \n",
       "L 1172 1153 \n",
       "Q 1172 725 1289 603 \n",
       "Q 1406 481 1766 481 \n",
       "L 2356 481 \n",
       "L 2356 0 \n",
       "L 1766 0 \n",
       "Q 1100 0 847 248 \n",
       "Q 594 497 594 1153 \n",
       "L 594 3053 \n",
       "L 172 3053 \n",
       "L 172 3500 \n",
       "L 594 3500 \n",
       "L 594 4494 \n",
       "L 1172 4494 \n",
       "z\n",
       "\" id=\"DejaVuSans-74\" transform=\"scale(0.015625)\"/>\n",
       "      <path d=\"M 1159 525 \n",
       "L 1159 -1331 \n",
       "L 581 -1331 \n",
       "L 581 3500 \n",
       "L 1159 3500 \n",
       "L 1159 2969 \n",
       "Q 1341 3281 1617 3432 \n",
       "Q 1894 3584 2278 3584 \n",
       "Q 2916 3584 3314 3078 \n",
       "Q 3713 2572 3713 1747 \n",
       "Q 3713 922 3314 415 \n",
       "Q 2916 -91 2278 -91 \n",
       "Q 1894 -91 1617 61 \n",
       "Q 1341 213 1159 525 \n",
       "z\n",
       "M 3116 1747 \n",
       "Q 3116 2381 2855 2742 \n",
       "Q 2594 3103 2138 3103 \n",
       "Q 1681 3103 1420 2742 \n",
       "Q 1159 2381 1159 1747 \n",
       "Q 1159 1113 1420 752 \n",
       "Q 1681 391 2138 391 \n",
       "Q 2594 391 2855 752 \n",
       "Q 3116 1113 3116 1747 \n",
       "z\n",
       "\" id=\"DejaVuSans-70\" transform=\"scale(0.015625)\"/>\n",
       "      <path d=\"M 2834 3397 \n",
       "L 2834 2853 \n",
       "Q 2591 2978 2328 3040 \n",
       "Q 2066 3103 1784 3103 \n",
       "Q 1356 3103 1142 2972 \n",
       "Q 928 2841 928 2578 \n",
       "Q 928 2378 1081 2264 \n",
       "Q 1234 2150 1697 2047 \n",
       "L 1894 2003 \n",
       "Q 2506 1872 2764 1633 \n",
       "Q 3022 1394 3022 966 \n",
       "Q 3022 478 2636 193 \n",
       "Q 2250 -91 1575 -91 \n",
       "Q 1294 -91 989 -36 \n",
       "Q 684 19 347 128 \n",
       "L 347 722 \n",
       "Q 666 556 975 473 \n",
       "Q 1284 391 1588 391 \n",
       "Q 1994 391 2212 530 \n",
       "Q 2431 669 2431 922 \n",
       "Q 2431 1156 2273 1281 \n",
       "Q 2116 1406 1581 1522 \n",
       "L 1381 1569 \n",
       "Q 847 1681 609 1914 \n",
       "Q 372 2147 372 2553 \n",
       "Q 372 3047 722 3315 \n",
       "Q 1072 3584 1716 3584 \n",
       "Q 2034 3584 2315 3537 \n",
       "Q 2597 3491 2834 3397 \n",
       "z\n",
       "\" id=\"DejaVuSans-73\" transform=\"scale(0.015625)\"/>\n",
       "      <path d=\"M 603 3500 \n",
       "L 1178 3500 \n",
       "L 1178 0 \n",
       "L 603 0 \n",
       "L 603 3500 \n",
       "z\n",
       "M 603 4863 \n",
       "L 1178 4863 \n",
       "L 1178 4134 \n",
       "L 603 4134 \n",
       "L 603 4863 \n",
       "z\n",
       "\" id=\"DejaVuSans-69\" transform=\"scale(0.015625)\"/>\n",
       "      <path d=\"M 2906 1791 \n",
       "Q 2906 2416 2648 2759 \n",
       "Q 2391 3103 1925 3103 \n",
       "Q 1463 3103 1205 2759 \n",
       "Q 947 2416 947 1791 \n",
       "Q 947 1169 1205 825 \n",
       "Q 1463 481 1925 481 \n",
       "Q 2391 481 2648 825 \n",
       "Q 2906 1169 2906 1791 \n",
       "z\n",
       "M 3481 434 \n",
       "Q 3481 -459 3084 -895 \n",
       "Q 2688 -1331 1869 -1331 \n",
       "Q 1566 -1331 1297 -1286 \n",
       "Q 1028 -1241 775 -1147 \n",
       "L 775 -588 \n",
       "Q 1028 -725 1275 -790 \n",
       "Q 1522 -856 1778 -856 \n",
       "Q 2344 -856 2625 -561 \n",
       "Q 2906 -266 2906 331 \n",
       "L 2906 616 \n",
       "Q 2728 306 2450 153 \n",
       "Q 2172 0 1784 0 \n",
       "Q 1141 0 747 490 \n",
       "Q 353 981 353 1791 \n",
       "Q 353 2603 747 3093 \n",
       "Q 1141 3584 1784 3584 \n",
       "Q 2172 3584 2450 3431 \n",
       "Q 2728 3278 2906 2969 \n",
       "L 2906 3500 \n",
       "L 3481 3500 \n",
       "L 3481 434 \n",
       "z\n",
       "\" id=\"DejaVuSans-67\" transform=\"scale(0.015625)\"/>\n",
       "      <path d=\"M 3513 2113 \n",
       "L 3513 0 \n",
       "L 2938 0 \n",
       "L 2938 2094 \n",
       "Q 2938 2591 2744 2837 \n",
       "Q 2550 3084 2163 3084 \n",
       "Q 1697 3084 1428 2787 \n",
       "Q 1159 2491 1159 1978 \n",
       "L 1159 0 \n",
       "L 581 0 \n",
       "L 581 3500 \n",
       "L 1159 3500 \n",
       "L 1159 2956 \n",
       "Q 1366 3272 1645 3428 \n",
       "Q 1925 3584 2291 3584 \n",
       "Q 2894 3584 3203 3211 \n",
       "Q 3513 2838 3513 2113 \n",
       "z\n",
       "\" id=\"DejaVuSans-6e\" transform=\"scale(0.015625)\"/>\n",
       "      <path d=\"M 2194 1759 \n",
       "Q 1497 1759 1228 1600 \n",
       "Q 959 1441 959 1056 \n",
       "Q 959 750 1161 570 \n",
       "Q 1363 391 1709 391 \n",
       "Q 2188 391 2477 730 \n",
       "Q 2766 1069 2766 1631 \n",
       "L 2766 1759 \n",
       "L 2194 1759 \n",
       "z\n",
       "M 3341 1997 \n",
       "L 3341 0 \n",
       "L 2766 0 \n",
       "L 2766 531 \n",
       "Q 2569 213 2275 61 \n",
       "Q 1981 -91 1556 -91 \n",
       "Q 1019 -91 701 211 \n",
       "Q 384 513 384 1019 \n",
       "Q 384 1609 779 1909 \n",
       "Q 1175 2209 1959 2209 \n",
       "L 2766 2209 \n",
       "L 2766 2266 \n",
       "Q 2766 2663 2505 2880 \n",
       "Q 2244 3097 1772 3097 \n",
       "Q 1472 3097 1187 3025 \n",
       "Q 903 2953 641 2809 \n",
       "L 641 3341 \n",
       "Q 956 3463 1253 3523 \n",
       "Q 1550 3584 1831 3584 \n",
       "Q 2591 3584 2966 3190 \n",
       "Q 3341 2797 3341 1997 \n",
       "z\n",
       "\" id=\"DejaVuSans-61\" transform=\"scale(0.015625)\"/>\n",
       "      <path d=\"M 603 4863 \n",
       "L 1178 4863 \n",
       "L 1178 0 \n",
       "L 603 0 \n",
       "L 603 4863 \n",
       "z\n",
       "\" id=\"DejaVuSans-6c\" transform=\"scale(0.015625)\"/>\n",
       "      <path d=\"M 2375 4863 \n",
       "L 2375 4384 \n",
       "L 1825 4384 \n",
       "Q 1516 4384 1395 4259 \n",
       "Q 1275 4134 1275 3809 \n",
       "L 1275 3500 \n",
       "L 2222 3500 \n",
       "L 2222 3053 \n",
       "L 1275 3053 \n",
       "L 1275 0 \n",
       "L 697 0 \n",
       "L 697 3053 \n",
       "L 147 3053 \n",
       "L 147 3500 \n",
       "L 697 3500 \n",
       "L 697 3744 \n",
       "Q 697 4328 969 4595 \n",
       "Q 1241 4863 1831 4863 \n",
       "L 2375 4863 \n",
       "z\n",
       "\" id=\"DejaVuSans-66\" transform=\"scale(0.015625)\"/>\n",
       "      <path d=\"M 1959 3097 \n",
       "Q 1497 3097 1228 2736 \n",
       "Q 959 2375 959 1747 \n",
       "Q 959 1119 1226 758 \n",
       "Q 1494 397 1959 397 \n",
       "Q 2419 397 2687 759 \n",
       "Q 2956 1122 2956 1747 \n",
       "Q 2956 2369 2687 2733 \n",
       "Q 2419 3097 1959 3097 \n",
       "z\n",
       "M 1959 3584 \n",
       "Q 2709 3584 3137 3096 \n",
       "Q 3566 2609 3566 1747 \n",
       "Q 3566 888 3137 398 \n",
       "Q 2709 -91 1959 -91 \n",
       "Q 1206 -91 779 398 \n",
       "Q 353 888 353 1747 \n",
       "Q 353 2609 779 3096 \n",
       "Q 1206 3584 1959 3584 \n",
       "z\n",
       "\" id=\"DejaVuSans-6f\" transform=\"scale(0.015625)\"/>\n",
       "      <path d=\"M 2631 2963 \n",
       "Q 2534 3019 2420 3045 \n",
       "Q 2306 3072 2169 3072 \n",
       "Q 1681 3072 1420 2755 \n",
       "Q 1159 2438 1159 1844 \n",
       "L 1159 0 \n",
       "L 581 0 \n",
       "L 581 3500 \n",
       "L 1159 3500 \n",
       "L 1159 2956 \n",
       "Q 1341 3275 1631 3429 \n",
       "Q 1922 3584 2338 3584 \n",
       "Q 2397 3584 2469 3576 \n",
       "Q 2541 3569 2628 3553 \n",
       "L 2631 2963 \n",
       "z\n",
       "\" id=\"DejaVuSans-72\" transform=\"scale(0.015625)\"/>\n",
       "      <path d=\"M 353 3500 \n",
       "L 3084 3500 \n",
       "L 3084 2975 \n",
       "L 922 459 \n",
       "L 3084 459 \n",
       "L 3084 0 \n",
       "L 275 0 \n",
       "L 275 525 \n",
       "L 2438 3041 \n",
       "L 353 3041 \n",
       "L 353 3500 \n",
       "z\n",
       "\" id=\"DejaVuSans-7a\" transform=\"scale(0.015625)\"/>\n",
       "      <path d=\"M 3597 1894 \n",
       "L 3597 1613 \n",
       "L 953 1613 \n",
       "Q 991 1019 1311 708 \n",
       "Q 1631 397 2203 397 \n",
       "Q 2534 397 2845 478 \n",
       "Q 3156 559 3463 722 \n",
       "L 3463 178 \n",
       "Q 3153 47 2828 -22 \n",
       "Q 2503 -91 2169 -91 \n",
       "Q 1331 -91 842 396 \n",
       "Q 353 884 353 1716 \n",
       "Q 353 2575 817 3079 \n",
       "Q 1281 3584 2069 3584 \n",
       "Q 2775 3584 3186 3129 \n",
       "Q 3597 2675 3597 1894 \n",
       "z\n",
       "M 3022 2063 \n",
       "Q 3016 2534 2758 2815 \n",
       "Q 2500 3097 2075 3097 \n",
       "Q 1594 3097 1305 2825 \n",
       "Q 1016 2553 972 2059 \n",
       "L 3022 2063 \n",
       "z\n",
       "\" id=\"DejaVuSans-65\" transform=\"scale(0.015625)\"/>\n",
       "     </defs>\n",
       "     <use xlink:href=\"#DejaVuSans-4f\"/>\n",
       "     <use x=\"78.710938\" xlink:href=\"#DejaVuSans-75\"/>\n",
       "     <use x=\"142.089844\" xlink:href=\"#DejaVuSans-74\"/>\n",
       "     <use x=\"181.298828\" xlink:href=\"#DejaVuSans-70\"/>\n",
       "     <use x=\"244.775391\" xlink:href=\"#DejaVuSans-75\"/>\n",
       "     <use x=\"308.154297\" xlink:href=\"#DejaVuSans-74\"/>\n",
       "     <use x=\"347.363281\" xlink:href=\"#DejaVuSans-20\"/>\n",
       "     <use x=\"379.150391\" xlink:href=\"#DejaVuSans-73\"/>\n",
       "     <use x=\"431.25\" xlink:href=\"#DejaVuSans-69\"/>\n",
       "     <use x=\"459.033203\" xlink:href=\"#DejaVuSans-67\"/>\n",
       "     <use x=\"522.509766\" xlink:href=\"#DejaVuSans-6e\"/>\n",
       "     <use x=\"585.888672\" xlink:href=\"#DejaVuSans-61\"/>\n",
       "     <use x=\"647.167969\" xlink:href=\"#DejaVuSans-6c\"/>\n",
       "     <use x=\"674.951172\" xlink:href=\"#DejaVuSans-20\"/>\n",
       "     <use x=\"706.738281\" xlink:href=\"#DejaVuSans-66\"/>\n",
       "     <use x=\"741.943359\" xlink:href=\"#DejaVuSans-6f\"/>\n",
       "     <use x=\"803.125\" xlink:href=\"#DejaVuSans-72\"/>\n",
       "     <use x=\"844.238281\" xlink:href=\"#DejaVuSans-20\"/>\n",
       "     <use x=\"876.025391\" xlink:href=\"#DejaVuSans-7a\"/>\n",
       "     <use x=\"928.515625\" xlink:href=\"#DejaVuSans-65\"/>\n",
       "     <use x=\"990.039062\" xlink:href=\"#DejaVuSans-72\"/>\n",
       "     <use x=\"1028.902344\" xlink:href=\"#DejaVuSans-6f\"/>\n",
       "     <use x=\"1090.083984\" xlink:href=\"#DejaVuSans-20\"/>\n",
       "     <use x=\"1121.871094\" xlink:href=\"#DejaVuSans-69\"/>\n",
       "     <use x=\"1149.654297\" xlink:href=\"#DejaVuSans-6e\"/>\n",
       "     <use x=\"1213.033203\" xlink:href=\"#DejaVuSans-70\"/>\n",
       "     <use x=\"1276.509766\" xlink:href=\"#DejaVuSans-75\"/>\n",
       "     <use x=\"1339.888672\" xlink:href=\"#DejaVuSans-74\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "  </g>\n",
       " </g>\n",
       " <defs>\n",
       "  <clipPath id=\"p3632d1cf46\">\n",
       "   <rect height=\"166.32\" width=\"558\" x=\"52.682813\" y=\"22.318125\"/>\n",
       "  </clipPath>\n",
       " </defs>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "<Figure size 960x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def uniform_midtread_quantizer(x, xmin=1):\n",
    "    \"\"\"Uniform mid-tread quantizer with limiter.\"\"\"\n",
    "    # limiter\n",
    "    x = np.copy(x)\n",
    "    if x <= -xmin:\n",
    "        x = -1\n",
    "    if x > xmin - Q:\n",
    "        x = 1 - Q\n",
    "    # linear uniform quantization\n",
    "    xQ = Q * np.floor(x / Q + 1 / 2)\n",
    "\n",
    "    return xQ\n",
    "\n",
    "\n",
    "# compute input signal\n",
    "x = np.random.uniform(low=-1, high=1, size=256)\n",
    "x = np.concatenate((x, np.zeros(1024)))\n",
    "# compute output signal\n",
    "yQ = sos_df1(x, 2 * a, requantize=uniform_midtread_quantizer)\n",
    "\n",
    "# plot results\n",
    "plt.figure(figsize=(10, 3))\n",
    "plt.plot(20 * np.log10(np.abs(yQ)))\n",
    "plt.title(\"Level of output signal\")\n",
    "plt.xlabel(r\"$k$\")\n",
    "plt.ylabel(r\"$|y_Q[k]|$ in dB\")\n",
    "plt.grid()\n",
    "\n",
    "plt.figure(figsize=(10, 3))\n",
    "k = np.arange(1000, 1050)\n",
    "plt.stem(k, yQ[k])\n",
    "plt.title(\"Output signal for zero input\")\n",
    "plt.xlabel(r\"$k$\")\n",
    "plt.ylabel(r\"$y_Q[k]$ \")\n",
    "plt.grid()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Exercise**\n",
    "\n",
    "* Determine the period of the large limit cycles. How is it related to the poles of the system?\n",
    "\n",
    "Solution: The period of the large limit cycles can be estimated from the second illustration as $P = 6$. The normalized frequency of a harmonic exponential signal with the same periodicity is given as $\\Omega_0 = \\frac{2 \\pi}{P} = \\frac{\\pi}{3}$. The poles of the system can be extracted from the code of the first example as $z_{\\infty 0,1} = 0.9 \\cdot e^{\\pm j \\frac{\\pi}{3}}$. The periodicity of the large limit cycles is hence linked to the normalized frequency of the poles."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "nbsphinx": "hidden"
   },
   "source": [
    "**Copyright**\n",
    "\n",
    "This notebook is provided as [Open Educational Resource](https://en.wikipedia.org/wiki/Open_educational_resources). Feel free to use the notebook for your own purposes. The text is licensed under [Creative Commons Attribution 4.0](https://creativecommons.org/licenses/by/4.0/), the code of the IPython examples under the [MIT license](https://opensource.org/licenses/MIT). Please attribute the work as follows: *Sascha Spors, Digital Signal Processing - Lecture notes featuring computational examples*."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
